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Finding the Fourth Proportional to 224.11, 335.97 and 127.86

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Solution

The fourth proportional to 224.11, 335.97 and 127.86 is: 191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.11 : 335.97 = 127.86 : x
  2. Step 2: Convert to fraction form
    224.11/335.97 = 127.86/x
  3. Step 3: Cross multiply
    224.11x = 335.97 × 127.86
  4. Step 4: Simplify right side
    224.11x = 42,957.12
  5. Step 5: Solve for x
    x = 42,957.12/224.11
  6. Step 6: Final answer
    x = 191.68

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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.