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Finding the Fourth Proportional to 502.40, 752.92 and 213.50

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Solution

The fourth proportional to 502.40, 752.92 and 213.50 is: 319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.40 : 752.92 = 213.50 : x
  2. Step 2: Convert to fraction form
    502.40/752.92 = 213.50/x
  3. Step 3: Cross multiply
    502.40x = 752.92 × 213.50
  4. Step 4: Simplify right side
    502.40x = 160,748.42
  5. Step 5: Solve for x
    x = 160,748.42/502.40
  6. Step 6: Final answer
    x = 319.96

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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.