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Finding the Fourth Proportional to 362.20, 500.25 and 280.30

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Solution

The fourth proportional to 362.20, 500.25 and 280.30 is: 387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.20 : 500.25 = 280.30 : x
  2. Step 2: Convert to fraction form
    362.20/500.25 = 280.30/x
  3. Step 3: Cross multiply
    362.20x = 500.25 × 280.30
  4. Step 4: Simplify right side
    362.20x = 140,221.60
  5. Step 5: Solve for x
    x = 140,221.60/362.20
  6. Step 6: Final answer
    x = 387.14

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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.