Question

    If p is the fourth proportion to 4, 9 and 8, and q is

    the third proportional of p and 30, then find the mean proportional between 32 and q.
    A 42 Correct Answer Incorrect Answer
    B 36 Correct Answer Incorrect Answer
    C 40 Correct Answer Incorrect Answer
    D 35 Correct Answer Incorrect Answer

    Solution

    ATQ: 4: 9 :: 8 : p  4p = 9 × 8 p = 18 18: 30 :: 30 : q 18q = 30 × 30 q = 50 mean proportion of 32 and 50 = √(32×50) = √1600 = 40

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