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Finding the Fourth Proportional to 224.65, 337.42 and 147.74

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Solution

The fourth proportional to 224.65, 337.42 and 147.74 is: 221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.65 : 337.42 = 147.74 : x
  2. Step 2: Convert to fraction form
    224.65/337.42 = 147.74/x
  3. Step 3: Cross multiply
    224.65x = 337.42 × 147.74
  4. Step 4: Simplify right side
    224.65x = 49,850.43
  5. Step 5: Solve for x
    x = 49,850.43/224.65
  6. Step 6: Final answer
    x = 221.91

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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.