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Finding the Fourth Proportional to 159.31, 239.00 and 113.55

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Solution

The fourth proportional to 159.31, 239.00 and 113.55 is: 170.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.31 : 239.00 = 113.55 : x
  2. Step 2: Convert to fraction form
    159.31/239.00 = 113.55/x
  3. Step 3: Cross multiply
    159.31x = 239.00 × 113.55
  4. Step 4: Simplify right side
    159.31x = 27,136.69
  5. Step 5: Solve for x
    x = 27,136.69/159.31
  6. Step 6: Final answer
    x = 170.34

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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.