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Finding the Fourth Proportional to 158.28, 217.22 and 149.12

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Solution

The fourth proportional to 158.28, 217.22 and 149.12 is: 204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.28 : 217.22 = 149.12 : x
  2. Step 2: Convert to fraction form
    158.28/217.22 = 149.12/x
  3. Step 3: Cross multiply
    158.28x = 217.22 × 149.12
  4. Step 4: Simplify right side
    158.28x = 32,391.85
  5. Step 5: Solve for x
    x = 32,391.85/158.28
  6. Step 6: Final answer
    x = 204.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.