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Finding the Fourth Proportional to 171.08, 256.31 and 140.10

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Solution

The fourth proportional to 171.08, 256.31 and 140.10 is: 209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.08 : 256.31 = 140.10 : x
  2. Step 2: Convert to fraction form
    171.08/256.31 = 140.10/x
  3. Step 3: Cross multiply
    171.08x = 256.31 × 140.10
  4. Step 4: Simplify right side
    171.08x = 35,908.33
  5. Step 5: Solve for x
    x = 35,908.33/171.08
  6. Step 6: Final answer
    x = 209.90

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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.