Find the fourth proportional of 5√24, 3√10 and 3√15.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 4.5.
Given: a = 5√24, b = 3√10, c = 3√15
Fourth proportional x = (b × c) / a
= (3√10 × 3√15) / (5√24)
= (9√150) / (5√24)
√150 = 5√6, √24 = 2√6
⇒ (9×5√6) / (5×2√6) = 45√6 / 10√6 = 4.5