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Finding the Fourth Proportional to 159.67, 239.25 and 78.40

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Solution

The fourth proportional to 159.67, 239.25 and 78.40 is: 117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.67 : 239.25 = 78.40 : x
  2. Step 2: Convert to fraction form
    159.67/239.25 = 78.40/x
  3. Step 3: Cross multiply
    159.67x = 239.25 × 78.40
  4. Step 4: Simplify right side
    159.67x = 18,757.79
  5. Step 5: Solve for x
    x = 18,757.79/159.67
  6. Step 6: Final answer
    x = 117.48

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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.