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Finding the Fourth Proportional to 160.68, 239.36 and 160.38

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Solution

The fourth proportional to 160.68, 239.36 and 160.38 is: 238.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.68 : 239.36 = 160.38 : x
  2. Step 2: Convert to fraction form
    160.68/239.36 = 160.38/x
  3. Step 3: Cross multiply
    160.68x = 239.36 × 160.38
  4. Step 4: Simplify right side
    160.68x = 38,387.75
  5. Step 5: Solve for x
    x = 38,387.75/160.68
  6. Step 6: Final answer
    x = 238.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.