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Finding the Fourth Proportional to 150.07, 225.17 and 76.97

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Solution

The fourth proportional to 150.07, 225.17 and 76.97 is: 115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.07 : 225.17 = 76.97 : x
  2. Step 2: Convert to fraction form
    150.07/225.17 = 76.97/x
  3. Step 3: Cross multiply
    150.07x = 225.17 × 76.97
  4. Step 4: Simplify right side
    150.07x = 17,331.33
  5. Step 5: Solve for x
    x = 17,331.33/150.07
  6. Step 6: Final answer
    x = 115.49

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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.