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Finding the Fourth Proportional to 171.74, 256.16 and 166.61

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Solution

The fourth proportional to 171.74, 256.16 and 166.61 is: 248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.74 : 256.16 = 166.61 : x
  2. Step 2: Convert to fraction form
    171.74/256.16 = 166.61/x
  3. Step 3: Cross multiply
    171.74x = 256.16 × 166.61
  4. Step 4: Simplify right side
    171.74x = 42,676.70
  5. Step 5: Solve for x
    x = 42,676.70/171.74
  6. Step 6: Final answer
    x = 248.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.