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Finding the Fourth Proportional to 171.56, 257.27 and 68.85

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Solution

The fourth proportional to 171.56, 257.27 and 68.85 is: 103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.56 : 257.27 = 68.85 : x
  2. Step 2: Convert to fraction form
    171.56/257.27 = 68.85/x
  3. Step 3: Cross multiply
    171.56x = 257.27 × 68.85
  4. Step 4: Simplify right side
    171.56x = 17,712.70
  5. Step 5: Solve for x
    x = 17,712.70/171.56
  6. Step 6: Final answer
    x = 103.25

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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.