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Finding the Fourth Proportional to 159.57, 239.13 and 91.13

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Solution

The fourth proportional to 159.57, 239.13 and 91.13 is: 136.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.57 : 239.13 = 91.13 : x
  2. Step 2: Convert to fraction form
    159.57/239.13 = 91.13/x
  3. Step 3: Cross multiply
    159.57x = 239.13 × 91.13
  4. Step 4: Simplify right side
    159.57x = 21,790.72
  5. Step 5: Solve for x
    x = 21,790.72/159.57
  6. Step 6: Final answer
    x = 136.56

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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.