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Finding the Fourth Proportional to 171.16, 256.56 and 68.38

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Solution

The fourth proportional to 171.16, 256.56 and 68.38 is: 102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.16 : 256.56 = 68.38 : x
  2. Step 2: Convert to fraction form
    171.16/256.56 = 68.38/x
  3. Step 3: Cross multiply
    171.16x = 256.56 × 68.38
  4. Step 4: Simplify right side
    171.16x = 17,542.29
  5. Step 5: Solve for x
    x = 17,542.29/171.16
  6. Step 6: Final answer
    x = 102.49

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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.