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Finding the Fourth Proportional to 402.98, 604.39 and 129.09

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Solution

The fourth proportional to 402.98, 604.39 and 129.09 is: 193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.98 : 604.39 = 129.09 : x
  2. Step 2: Convert to fraction form
    402.98/604.39 = 129.09/x
  3. Step 3: Cross multiply
    402.98x = 604.39 × 129.09
  4. Step 4: Simplify right side
    402.98x = 78,020.71
  5. Step 5: Solve for x
    x = 78,020.71/402.98
  6. Step 6: Final answer
    x = 193.61

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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.