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Finding the Fourth Proportional to 224.71, 337.11 and 143.35

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Solution

The fourth proportional to 224.71, 337.11 and 143.35 is: 215.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.71 : 337.11 = 143.35 : x
  2. Step 2: Convert to fraction form
    224.71/337.11 = 143.35/x
  3. Step 3: Cross multiply
    224.71x = 337.11 × 143.35
  4. Step 4: Simplify right side
    224.71x = 48,324.72
  5. Step 5: Solve for x
    x = 48,324.72/224.71
  6. Step 6: Final answer
    x = 215.05

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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.