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Finding the Fourth Proportional to 149.20, 224.02 and 100.48

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Solution

The fourth proportional to 149.20, 224.02 and 100.48 is: 150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.20 : 224.02 = 100.48 : x
  2. Step 2: Convert to fraction form
    149.20/224.02 = 100.48/x
  3. Step 3: Cross multiply
    149.20x = 224.02 × 100.48
  4. Step 4: Simplify right side
    149.20x = 22,509.53
  5. Step 5: Solve for x
    x = 22,509.53/149.20
  6. Step 6: Final answer
    x = 150.87

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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.