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Finding the Fourth Proportional to 502.34, 752.87 and 242.28

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Solution

The fourth proportional to 502.34, 752.87 and 242.28 is: 363.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.34 : 752.87 = 242.28 : x
  2. Step 2: Convert to fraction form
    502.34/752.87 = 242.28/x
  3. Step 3: Cross multiply
    502.34x = 752.87 × 242.28
  4. Step 4: Simplify right side
    502.34x = 182,405.95
  5. Step 5: Solve for x
    x = 182,405.95/502.34
  6. Step 6: Final answer
    x = 363.12

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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.