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Finding the Fourth Proportional to 160.18, 239.76 and 119.48

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Solution

The fourth proportional to 160.18, 239.76 and 119.48 is: 178.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.18 : 239.76 = 119.48 : x
  2. Step 2: Convert to fraction form
    160.18/239.76 = 119.48/x
  3. Step 3: Cross multiply
    160.18x = 239.76 × 119.48
  4. Step 4: Simplify right side
    160.18x = 28,645.33
  5. Step 5: Solve for x
    x = 28,645.33/160.18
  6. Step 6: Final answer
    x = 178.83

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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.