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Finding the Fourth Proportional to 171.98, 257.97 and 63.74

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Solution

The fourth proportional to 171.98, 257.97 and 63.74 is: 95.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.98 : 257.97 = 63.74 : x
  2. Step 2: Convert to fraction form
    171.98/257.97 = 63.74/x
  3. Step 3: Cross multiply
    171.98x = 257.97 × 63.74
  4. Step 4: Simplify right side
    171.98x = 16,443.01
  5. Step 5: Solve for x
    x = 16,443.01/171.98
  6. Step 6: Final answer
    x = 95.61

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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.