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Finding the Fourth Proportional to 171.71, 258.97 and 166.23

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Solution

The fourth proportional to 171.71, 258.97 and 166.23 is: 250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.71 : 258.97 = 166.23 : x
  2. Step 2: Convert to fraction form
    171.71/258.97 = 166.23/x
  3. Step 3: Cross multiply
    171.71x = 258.97 × 166.23
  4. Step 4: Simplify right side
    171.71x = 43,048.58
  5. Step 5: Solve for x
    x = 43,048.58/171.71
  6. Step 6: Final answer
    x = 250.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.