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Finding the Fourth Proportional to 171.82, 256.37 and 163.81

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Solution

The fourth proportional to 171.82, 256.37 and 163.81 is: 244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.82 : 256.37 = 163.81 : x
  2. Step 2: Convert to fraction form
    171.82/256.37 = 163.81/x
  3. Step 3: Cross multiply
    171.82x = 256.37 × 163.81
  4. Step 4: Simplify right side
    171.82x = 41,995.97
  5. Step 5: Solve for x
    x = 41,995.97/171.82
  6. Step 6: Final answer
    x = 244.42

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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.