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Finding the Fourth Proportional to 239.92, 331 and 157.12

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Solution

The fourth proportional to 239.92, 331 and 157.12 is: 216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.92 : 331 = 157.12 : x
  2. Step 2: Convert to fraction form
    239.92/331 = 157.12/x
  3. Step 3: Cross multiply
    239.92x = 331 × 157.12
  4. Step 4: Simplify right side
    239.92x = 52,006.72
  5. Step 5: Solve for x
    x = 52,006.72/239.92
  6. Step 6: Final answer
    x = 216.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.