What is the mean proportional between the fourth proportionals of 1 2 7 and 14 16 2401 ........

Quantitative Aptitude (MTS) Ratio, Proportion

What is the mean proportional between the fourth proportionals of (1 , 2, 7) and (14, 16, 2401 )?

This questions was previously asked in

SSC MTS 18th October 2021 Shift-3

224

196

392

- To find the fourth proportional of (1, 2, 7), use the proportion: 1/2 = 7/x. Solving for x gives x = 14.

- To find the fourth proportional of (14, 16, 2401), use the proportion: 14/16 = 2401/y. Solving for y gives y = 2744.

- The mean proportional (geometric mean) between the fourth proportionals 14 and 2744 is v(14 * 2744).

- Calculating the mean proportional: v(14 * 2744) = v(38416) = 196.

- Therefore, the correct option is Option: 2, 196.

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