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Finding the Fourth Proportional to 171.27, 255.51 and 140.74

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Solution

The fourth proportional to 171.27, 255.51 and 140.74 is: 209.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.27 : 255.51 = 140.74 : x
  2. Step 2: Convert to fraction form
    171.27/255.51 = 140.74/x
  3. Step 3: Cross multiply
    171.27x = 255.51 × 140.74
  4. Step 4: Simplify right side
    171.27x = 35,960.48
  5. Step 5: Solve for x
    x = 35,960.48/171.27
  6. Step 6: Final answer
    x = 209.96

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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.