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Finding the Fourth Proportional to 149.11, 224.84 and 141.89

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Solution

The fourth proportional to 149.11, 224.84 and 141.89 is: 213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.11 : 224.84 = 141.89 : x
  2. Step 2: Convert to fraction form
    149.11/224.84 = 141.89/x
  3. Step 3: Cross multiply
    149.11x = 224.84 × 141.89
  4. Step 4: Simplify right side
    149.11x = 31,901.78
  5. Step 5: Solve for x
    x = 31,901.78/149.11
  6. Step 6: Final answer
    x = 213.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.