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The fourth proportional to 22, 31, 52 is how many times the mean proportional of 21, 32 approximately?

The fourth proportional to 22, 31, 52 is how many times the mean proportional of 21, 32 approximately? Correct Answer 1.5

We know that,

Fourth proportional of a, b, c is bc/a

⇒ Fourth proportional to 22, 31, 52 = 31 × 52/22 = 806/11

We know that,

Mean proportional to a, b is b2/a

⇒ Third proportional of 21, 32 = 322/21 = 1024/21

∴ Required ratio = (806/11)/(1024/21) ≈ 1.5

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