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Finding the Fourth Proportional to 171.74, 258.92 and 144.88

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Solution

The fourth proportional to 171.74, 258.92 and 144.88 is: 218.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.74 : 258.92 = 144.88 : x
  2. Step 2: Convert to fraction form
    171.74/258.92 = 144.88/x
  3. Step 3: Cross multiply
    171.74x = 258.92 × 144.88
  4. Step 4: Simplify right side
    171.74x = 37,512.33
  5. Step 5: Solve for x
    x = 37,512.33/171.74
  6. Step 6: Final answer
    x = 218.43

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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.