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Finding the Fourth Proportional to 502.24, 752.38 and 296.90

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Solution

The fourth proportional to 502.24, 752.38 and 296.90 is: 444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.24 : 752.38 = 296.90 : x
  2. Step 2: Convert to fraction form
    502.24/752.38 = 296.90/x
  3. Step 3: Cross multiply
    502.24x = 752.38 × 296.90
  4. Step 4: Simplify right side
    502.24x = 223,381.62
  5. Step 5: Solve for x
    x = 223,381.62/502.24
  6. Step 6: Final answer
    x = 444.77

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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.