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Finding the Fourth Proportional to 159.56, 239.50 and 113.96

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Solution

The fourth proportional to 159.56, 239.50 and 113.96 is: 171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.56 : 239.50 = 113.96 : x
  2. Step 2: Convert to fraction form
    159.56/239.50 = 113.96/x
  3. Step 3: Cross multiply
    159.56x = 239.50 × 113.96
  4. Step 4: Simplify right side
    159.56x = 27,293.42
  5. Step 5: Solve for x
    x = 27,293.42/159.56
  6. Step 6: Final answer
    x = 171.05

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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.