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Finding the Fourth Proportional to 171.32, 255.81 and 140.94

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Solution

The fourth proportional to 171.32, 255.81 and 140.94 is: 210.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.32 : 255.81 = 140.94 : x
  2. Step 2: Convert to fraction form
    171.32/255.81 = 140.94/x
  3. Step 3: Cross multiply
    171.32x = 255.81 × 140.94
  4. Step 4: Simplify right side
    171.32x = 36,053.16
  5. Step 5: Solve for x
    x = 36,053.16/171.32
  6. Step 6: Final answer
    x = 210.44

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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.