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Finding the Fourth Proportional to 168.67, 251.60 and 149.23

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Solution

The fourth proportional to 168.67, 251.60 and 149.23 is: 222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.67 : 251.60 = 149.23 : x
  2. Step 2: Convert to fraction form
    168.67/251.60 = 149.23/x
  3. Step 3: Cross multiply
    168.67x = 251.60 × 149.23
  4. Step 4: Simplify right side
    168.67x = 37,546.27
  5. Step 5: Solve for x
    x = 37,546.27/168.67
  6. Step 6: Final answer
    x = 222.60

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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.