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Finding the Fourth Proportional to 502.39, 752.57 and 296.85

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Solution

The fourth proportional to 502.39, 752.57 and 296.85 is: 444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.39 : 752.57 = 296.85 : x
  2. Step 2: Convert to fraction form
    502.39/752.57 = 296.85/x
  3. Step 3: Cross multiply
    502.39x = 752.57 × 296.85
  4. Step 4: Simplify right side
    502.39x = 223,400.40
  5. Step 5: Solve for x
    x = 223,400.40/502.39
  6. Step 6: Final answer
    x = 444.68

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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.