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Finding the Fourth Proportional to 159.85, 239.75 and 77.56

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Solution

The fourth proportional to 159.85, 239.75 and 77.56 is: 116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.85 : 239.75 = 77.56 : x
  2. Step 2: Convert to fraction form
    159.85/239.75 = 77.56/x
  3. Step 3: Cross multiply
    159.85x = 239.75 × 77.56
  4. Step 4: Simplify right side
    159.85x = 18,594.60
  5. Step 5: Solve for x
    x = 18,594.60/159.85
  6. Step 6: Final answer
    x = 116.33

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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.