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Finding the Fourth Proportional to 171.10, 254.82 and 168.97

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Solution

The fourth proportional to 171.10, 254.82 and 168.97 is: 251.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.10 : 254.82 = 168.97 : x
  2. Step 2: Convert to fraction form
    171.10/254.82 = 168.97/x
  3. Step 3: Cross multiply
    171.10x = 254.82 × 168.97
  4. Step 4: Simplify right side
    171.10x = 43,056.94
  5. Step 5: Solve for x
    x = 43,056.94/171.10
  6. Step 6: Final answer
    x = 251.65

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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.