What is the fourth proportional to 225, 270 and 145.1. 1742. 1803. 220

1.	What is the fourth proportional to 225, 270 and 145.1. 1742. 1803. 2204. 175
Answer» Correct Answer - Option 1 : 174 Given: First number = 225 Second number = 270 Third number = 145 Concept used: 1.) An equality of two ratios is called as proportion i.e. a/b = c/d, then we can say that a, b, c and d are in proportion. When a, b, c and d are in proportion, it can be written as a ∶ b ∶∶ c ∶ d Where a and d are Extremes and b and c are Means Product of Extremes would be the same as the product of Means ad = bc 2.) Fourth proportional (x be the fourth proportional to a, b and c) a ∶ b ∶∶ c ∶ x xa = bc Calculations: Let fourth proportional be x According to definition of fourth proportional 225 ∶ 270 ∶∶ 145 ∶ x ⇒ 225x = 270 × 145 ⇒ x = (270 × 145) /225 ⇒ x = 174 ∴ Fourth proportional is 174

What is the fourth proportional to 225, 270 and 145.1. 1742. 1803. 2204. 175

Answer» Correct Answer - Option 1 : 174

Given:

First number = 225

Second number = 270

Third number = 145

Concept used:

1.) An equality of two ratios is called as proportion i.e. a/b = c/d, then we can say that a, b, c and d are in proportion.

When a, b, c and d are in proportion, it can be written as

a ∶ b ∶∶ c ∶ d

Where a and d are Extremes and b and c are Means

Product of Extremes would be the same as the product of Means

ad = bc

2.) Fourth proportional (x be the fourth proportional to a, b and c)

a ∶ b ∶∶ c ∶ x

xa = bc

Calculations:

Let fourth proportional be x

According to definition of fourth proportional

225 ∶ 270 ∶∶ 145 ∶ x

⇒ 225x = 270 × 145

⇒ x = (270 × 145) /225

⇒ x = 174

∴ Fourth proportional is 174

Discussion

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