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Finding the Fourth Proportional to 150.30, 224.24 and 136.85

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Solution

The fourth proportional to 150.30, 224.24 and 136.85 is: 204.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.30 : 224.24 = 136.85 : x
  2. Step 2: Convert to fraction form
    150.30/224.24 = 136.85/x
  3. Step 3: Cross multiply
    150.30x = 224.24 × 136.85
  4. Step 4: Simplify right side
    150.30x = 30,685.44
  5. Step 5: Solve for x
    x = 30,685.44/150.30
  6. Step 6: Final answer
    x = 204.16

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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.