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Finding the Fourth Proportional to 197.75, 272.25 and 171.86

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Solution

The fourth proportional to 197.75, 272.25 and 171.86 is: 236.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.75 : 272.25 = 171.86 : x
  2. Step 2: Convert to fraction form
    197.75/272.25 = 171.86/x
  3. Step 3: Cross multiply
    197.75x = 272.25 × 171.86
  4. Step 4: Simplify right side
    197.75x = 46,789.57
  5. Step 5: Solve for x
    x = 46,789.57/197.75
  6. Step 6: Final answer
    x = 236.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.