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    Question

    What is the mean proportional between the fourth

    proportionals of (1 , 2, 7) and (14, 16, 2401 )?
    A 224 Correct Answer Incorrect Answer
    B 196 Correct Answer Incorrect Answer
    C 14 Correct Answer Incorrect Answer
    D 392 Correct Answer Incorrect Answer

    Solution

    Let fourth term in 1st case be x and in 2nd case be y 1/2 = 7/x ⇒ x = 14 14/16 = 2401/y ⇒ y = 2744 Now, Mean proportion = √(14 × 2744) ⇒ 196 ∴ Required answer is 196

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