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Finding the Fourth Proportional to 159.49, 239.27 and 82.39

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Solution

The fourth proportional to 159.49, 239.27 and 82.39 is: 123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.49 : 239.27 = 82.39 : x
  2. Step 2: Convert to fraction form
    159.49/239.27 = 82.39/x
  3. Step 3: Cross multiply
    159.49x = 239.27 × 82.39
  4. Step 4: Simplify right side
    159.49x = 19,712.45
  5. Step 5: Solve for x
    x = 19,712.45/159.49
  6. Step 6: Final answer
    x = 123.60

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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.