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Finding the Fourth Proportional to 403.47, 604.82 and 129.38

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Solution

The fourth proportional to 403.47, 604.82 and 129.38 is: 193.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.47 : 604.82 = 129.38 : x
  2. Step 2: Convert to fraction form
    403.47/604.82 = 129.38/x
  3. Step 3: Cross multiply
    403.47x = 604.82 × 129.38
  4. Step 4: Simplify right side
    403.47x = 78,251.13
  5. Step 5: Solve for x
    x = 78,251.13/403.47
  6. Step 6: Final answer
    x = 193.94

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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.