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Finding the Fourth Proportional to 171.73, 258.52 and 156.85

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Solution

The fourth proportional to 171.73, 258.52 and 156.85 is: 236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.73 : 258.52 = 156.85 : x
  2. Step 2: Convert to fraction form
    171.73/258.52 = 156.85/x
  3. Step 3: Cross multiply
    171.73x = 258.52 × 156.85
  4. Step 4: Simplify right side
    171.73x = 40,548.86
  5. Step 5: Solve for x
    x = 40,548.86/171.73
  6. Step 6: Final answer
    x = 236.12

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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.