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Finding the Fourth Proportional to 495.13, 742.69 and 129.92

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Solution

The fourth proportional to 495.13, 742.69 and 129.92 is: 194.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.13 : 742.69 = 129.92 : x
  2. Step 2: Convert to fraction form
    495.13/742.69 = 129.92/x
  3. Step 3: Cross multiply
    495.13x = 742.69 × 129.92
  4. Step 4: Simplify right side
    495.13x = 96,490.28
  5. Step 5: Solve for x
    x = 96,490.28/495.13
  6. Step 6: Final answer
    x = 194.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.