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Finding the Fourth Proportional to 150.75, 224.82 and 140.49

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Solution

The fourth proportional to 150.75, 224.82 and 140.49 is: 209.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.75 : 224.82 = 140.49 : x
  2. Step 2: Convert to fraction form
    150.75/224.82 = 140.49/x
  3. Step 3: Cross multiply
    150.75x = 224.82 × 140.49
  4. Step 4: Simplify right side
    150.75x = 31,584.96
  5. Step 5: Solve for x
    x = 31,584.96/150.75
  6. Step 6: Final answer
    x = 209.52

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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.