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Finding the Fourth Proportional to 150.75, 225.20 and 126.45

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Solution

The fourth proportional to 150.75, 225.20 and 126.45 is: 188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.75 : 225.20 = 126.45 : x
  2. Step 2: Convert to fraction form
    150.75/225.20 = 126.45/x
  3. Step 3: Cross multiply
    150.75x = 225.20 × 126.45
  4. Step 4: Simplify right side
    150.75x = 28,476.54
  5. Step 5: Solve for x
    x = 28,476.54/150.75
  6. Step 6: Final answer
    x = 188.90

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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.