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Finding the Fourth Proportional to 149.74, 223.11 and 133.57

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Solution

The fourth proportional to 149.74, 223.11 and 133.57 is: 199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.74 : 223.11 = 133.57 : x
  2. Step 2: Convert to fraction form
    149.74/223.11 = 133.57/x
  3. Step 3: Cross multiply
    149.74x = 223.11 × 133.57
  4. Step 4: Simplify right side
    149.74x = 29,800.80
  5. Step 5: Solve for x
    x = 29,800.80/149.74
  6. Step 6: Final answer
    x = 199.02

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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.