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Finding the Fourth Proportional to 171.89, 257.84 and 80.54

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Solution

The fourth proportional to 171.89, 257.84 and 80.54 is: 120.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.89 : 257.84 = 80.54 : x
  2. Step 2: Convert to fraction form
    171.89/257.84 = 80.54/x
  3. Step 3: Cross multiply
    171.89x = 257.84 × 80.54
  4. Step 4: Simplify right side
    171.89x = 20,764.74
  5. Step 5: Solve for x
    x = 20,764.74/171.89
  6. Step 6: Final answer
    x = 120.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.