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Finding the Fourth Proportional to 149.72, 223.10 and 140.60

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Solution

The fourth proportional to 149.72, 223.10 and 140.60 is: 209.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.72 : 223.10 = 140.60 : x
  2. Step 2: Convert to fraction form
    149.72/223.10 = 140.60/x
  3. Step 3: Cross multiply
    149.72x = 223.10 × 140.60
  4. Step 4: Simplify right side
    149.72x = 31,367.86
  5. Step 5: Solve for x
    x = 31,367.86/149.72
  6. Step 6: Final answer
    x = 209.51

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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.