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Finding the Fourth Proportional to 159.28, 239.14 and 82.31

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Solution

The fourth proportional to 159.28, 239.14 and 82.31 is: 123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.28 : 239.14 = 82.31 : x
  2. Step 2: Convert to fraction form
    159.28/239.14 = 82.31/x
  3. Step 3: Cross multiply
    159.28x = 239.14 × 82.31
  4. Step 4: Simplify right side
    159.28x = 19,683.61
  5. Step 5: Solve for x
    x = 19,683.61/159.28
  6. Step 6: Final answer
    x = 123.58

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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.