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Finding the Fourth Proportional to 332.96, 499.42 and 137.92

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Solution

The fourth proportional to 332.96, 499.42 and 137.92 is: 206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.96 : 499.42 = 137.92 : x
  2. Step 2: Convert to fraction form
    332.96/499.42 = 137.92/x
  3. Step 3: Cross multiply
    332.96x = 499.42 × 137.92
  4. Step 4: Simplify right side
    332.96x = 68,879.09
  5. Step 5: Solve for x
    x = 68,879.09/332.96
  6. Step 6: Final answer
    x = 206.87

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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.