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Finding the Fourth Proportional to 499.50, 749.23 and 129.31

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Solution

The fourth proportional to 499.50, 749.23 and 129.31 is: 193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.50 : 749.23 = 129.31 : x
  2. Step 2: Convert to fraction form
    499.50/749.23 = 129.31/x
  3. Step 3: Cross multiply
    499.50x = 749.23 × 129.31
  4. Step 4: Simplify right side
    499.50x = 96,880.73
  5. Step 5: Solve for x
    x = 96,880.73/499.50
  6. Step 6: Final answer
    x = 193.96

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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.