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Finding the Fourth Proportional to 168.92, 254.30 and 115.16

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Solution

The fourth proportional to 168.92, 254.30 and 115.16 is: 173.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.92 : 254.30 = 115.16 : x
  2. Step 2: Convert to fraction form
    168.92/254.30 = 115.16/x
  3. Step 3: Cross multiply
    168.92x = 254.30 × 115.16
  4. Step 4: Simplify right side
    168.92x = 29,284.90
  5. Step 5: Solve for x
    x = 29,284.90/168.92
  6. Step 6: Final answer
    x = 173.37

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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.