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Finding the Fourth Proportional to 194.97, 268.92 and 132.71

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Solution

The fourth proportional to 194.97, 268.92 and 132.71 is: 183.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.97 : 268.92 = 132.71 : x
  2. Step 2: Convert to fraction form
    194.97/268.92 = 132.71/x
  3. Step 3: Cross multiply
    194.97x = 268.92 × 132.71
  4. Step 4: Simplify right side
    194.97x = 35,687.03
  5. Step 5: Solve for x
    x = 35,687.03/194.97
  6. Step 6: Final answer
    x = 183.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.