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Finding the Fourth Proportional to 168.23, 251.07 and 166.06

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Solution

The fourth proportional to 168.23, 251.07 and 166.06 is: 247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.23 : 251.07 = 166.06 : x
  2. Step 2: Convert to fraction form
    168.23/251.07 = 166.06/x
  3. Step 3: Cross multiply
    168.23x = 251.07 × 166.06
  4. Step 4: Simplify right side
    168.23x = 41,691.49
  5. Step 5: Solve for x
    x = 41,691.49/168.23
  6. Step 6: Final answer
    x = 247.82

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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.