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Finding the Fourth Proportional to 160.35, 239.92 and 95.39

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Solution

The fourth proportional to 160.35, 239.92 and 95.39 is: 142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.35 : 239.92 = 95.39 : x
  2. Step 2: Convert to fraction form
    160.35/239.92 = 95.39/x
  3. Step 3: Cross multiply
    160.35x = 239.92 × 95.39
  4. Step 4: Simplify right side
    160.35x = 22,884.53
  5. Step 5: Solve for x
    x = 22,884.53/160.35
  6. Step 6: Final answer
    x = 142.72

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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.