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Finding the Fourth Proportional to 160.14, 239.72 and 87.78

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Solution

The fourth proportional to 160.14, 239.72 and 87.78 is: 131.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.14 : 239.72 = 87.78 : x
  2. Step 2: Convert to fraction form
    160.14/239.72 = 87.78/x
  3. Step 3: Cross multiply
    160.14x = 239.72 × 87.78
  4. Step 4: Simplify right side
    160.14x = 21,042.62
  5. Step 5: Solve for x
    x = 21,042.62/160.14
  6. Step 6: Final answer
    x = 131.40

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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.