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Finding the Fourth Proportional to 363.11, 500.72 and 280.04

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Solution

The fourth proportional to 363.11, 500.72 and 280.04 is: 386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.11 : 500.72 = 280.04 : x
  2. Step 2: Convert to fraction form
    363.11/500.72 = 280.04/x
  3. Step 3: Cross multiply
    363.11x = 500.72 × 280.04
  4. Step 4: Simplify right side
    363.11x = 140,217.73
  5. Step 5: Solve for x
    x = 140,217.73/363.11
  6. Step 6: Final answer
    x = 386.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.