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Finding the Fourth Proportional to 171.01, 256.43 and 97.88

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Solution

The fourth proportional to 171.01, 256.43 and 97.88 is: 146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.01 : 256.43 = 97.88 : x
  2. Step 2: Convert to fraction form
    171.01/256.43 = 97.88/x
  3. Step 3: Cross multiply
    171.01x = 256.43 × 97.88
  4. Step 4: Simplify right side
    171.01x = 25,098.33
  5. Step 5: Solve for x
    x = 25,098.33/171.01
  6. Step 6: Final answer
    x = 146.76

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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.