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Finding the Fourth Proportional to 224.73, 337.61 and 193.98

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Solution

The fourth proportional to 224.73, 337.61 and 193.98 is: 291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.73 : 337.61 = 193.98 : x
  2. Step 2: Convert to fraction form
    224.73/337.61 = 193.98/x
  3. Step 3: Cross multiply
    224.73x = 337.61 × 193.98
  4. Step 4: Simplify right side
    224.73x = 65,489.59
  5. Step 5: Solve for x
    x = 65,489.59/224.73
  6. Step 6: Final answer
    x = 291.41

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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.