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Finding the Fourth Proportional to 224.71, 336.89 and 133.28

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Solution

The fourth proportional to 224.71, 336.89 and 133.28 is: 199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.71 : 336.89 = 133.28 : x
  2. Step 2: Convert to fraction form
    224.71/336.89 = 133.28/x
  3. Step 3: Cross multiply
    224.71x = 336.89 × 133.28
  4. Step 4: Simplify right side
    224.71x = 44,900.61
  5. Step 5: Solve for x
    x = 44,900.61/224.71
  6. Step 6: Final answer
    x = 199.82

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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.