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Finding the Fourth Proportional to 171.18, 258.26 and 166.32

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Solution

The fourth proportional to 171.18, 258.26 and 166.32 is: 250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.18 : 258.26 = 166.32 : x
  2. Step 2: Convert to fraction form
    171.18/258.26 = 166.32/x
  3. Step 3: Cross multiply
    171.18x = 258.26 × 166.32
  4. Step 4: Simplify right side
    171.18x = 42,952.97
  5. Step 5: Solve for x
    x = 42,952.97/171.18
  6. Step 6: Final answer
    x = 250.92

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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.