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Finding the Fourth Proportional to 403.60, 605.42 and 129.70

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Solution

The fourth proportional to 403.60, 605.42 and 129.70 is: 194.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.60 : 605.42 = 129.70 : x
  2. Step 2: Convert to fraction form
    403.60/605.42 = 129.70/x
  3. Step 3: Cross multiply
    403.60x = 605.42 × 129.70
  4. Step 4: Simplify right side
    403.60x = 78,524.30
  5. Step 5: Solve for x
    x = 78,524.30/403.60
  6. Step 6: Final answer
    x = 194.56

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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.