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Finding the Fourth Proportional to 349.38, 481.92 and 224.85

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Solution

The fourth proportional to 349.38, 481.92 and 224.85 is: 310.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.38 : 481.92 = 224.85 : x
  2. Step 2: Convert to fraction form
    349.38/481.92 = 224.85/x
  3. Step 3: Cross multiply
    349.38x = 481.92 × 224.85
  4. Step 4: Simplify right side
    349.38x = 108,359.71
  5. Step 5: Solve for x
    x = 108,359.71/349.38
  6. Step 6: Final answer
    x = 310.15

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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.