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Finding the Fourth Proportional to 502.13, 752.69 and 177.28

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Solution

The fourth proportional to 502.13, 752.69 and 177.28 is: 265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.13 : 752.69 = 177.28 : x
  2. Step 2: Convert to fraction form
    502.13/752.69 = 177.28/x
  3. Step 3: Cross multiply
    502.13x = 752.69 × 177.28
  4. Step 4: Simplify right side
    502.13x = 133,434.12
  5. Step 5: Solve for x
    x = 133,434.12/502.13
  6. Step 6: Final answer
    x = 265.73

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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.