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Finding the Fourth Proportional to 502.29, 752.91 and 173.13

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Solution

The fourth proportional to 502.29, 752.91 and 173.13 is: 259.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.29 : 752.91 = 173.13 : x
  2. Step 2: Convert to fraction form
    502.29/752.91 = 173.13/x
  3. Step 3: Cross multiply
    502.29x = 752.91 × 173.13
  4. Step 4: Simplify right side
    502.29x = 130,351.31
  5. Step 5: Solve for x
    x = 130,351.31/502.29
  6. Step 6: Final answer
    x = 259.51

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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.