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Finding the Fourth Proportional to 171.10, 255.00 and 166.78

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Solution

The fourth proportional to 171.10, 255.00 and 166.78 is: 248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.10 : 255.00 = 166.78 : x
  2. Step 2: Convert to fraction form
    171.10/255.00 = 166.78/x
  3. Step 3: Cross multiply
    171.10x = 255.00 × 166.78
  4. Step 4: Simplify right side
    171.10x = 42,526.79
  5. Step 5: Solve for x
    x = 42,526.79/171.10
  6. Step 6: Final answer
    x = 248.56

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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.