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Finding the Fourth Proportional to 229.29, 344.07 and 133.17

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Solution

The fourth proportional to 229.29, 344.07 and 133.17 is: 199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.29 : 344.07 = 133.17 : x
  2. Step 2: Convert to fraction form
    229.29/344.07 = 133.17/x
  3. Step 3: Cross multiply
    229.29x = 344.07 × 133.17
  4. Step 4: Simplify right side
    229.29x = 45,819.80
  5. Step 5: Solve for x
    x = 45,819.80/229.29
  6. Step 6: Final answer
    x = 199.83

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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.