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Finding the Fourth Proportional to 149.85, 224.78 and 140.74

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Solution

The fourth proportional to 149.85, 224.78 and 140.74 is: 211.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.85 : 224.78 = 140.74 : x
  2. Step 2: Convert to fraction form
    149.85/224.78 = 140.74/x
  3. Step 3: Cross multiply
    149.85x = 224.78 × 140.74
  4. Step 4: Simplify right side
    149.85x = 31,634.27
  5. Step 5: Solve for x
    x = 31,634.27/149.85
  6. Step 6: Final answer
    x = 211.11

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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.