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Finding the Fourth Proportional to 150.92, 225.05 and 147.27

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Solution

The fourth proportional to 150.92, 225.05 and 147.27 is: 219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.92 : 225.05 = 147.27 : x
  2. Step 2: Convert to fraction form
    150.92/225.05 = 147.27/x
  3. Step 3: Cross multiply
    150.92x = 225.05 × 147.27
  4. Step 4: Simplify right side
    150.92x = 33,143.11
  5. Step 5: Solve for x
    x = 33,143.11/150.92
  6. Step 6: Final answer
    x = 219.61

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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.