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Finding the Fourth Proportional to 160.76, 239.88 and 150.97

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Solution

The fourth proportional to 160.76, 239.88 and 150.97 is: 225.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.76 : 239.88 = 150.97 : x
  2. Step 2: Convert to fraction form
    160.76/239.88 = 150.97/x
  3. Step 3: Cross multiply
    160.76x = 239.88 × 150.97
  4. Step 4: Simplify right side
    160.76x = 36,213.48
  5. Step 5: Solve for x
    x = 36,213.48/160.76
  6. Step 6: Final answer
    x = 225.26

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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.