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Finding the Fourth Proportional to 197.94, 272.79 and 166.86

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Solution

The fourth proportional to 197.94, 272.79 and 166.86 is: 229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.94 : 272.79 = 166.86 : x
  2. Step 2: Convert to fraction form
    197.94/272.79 = 166.86/x
  3. Step 3: Cross multiply
    197.94x = 272.79 × 166.86
  4. Step 4: Simplify right side
    197.94x = 45,517.74
  5. Step 5: Solve for x
    x = 45,517.74/197.94
  6. Step 6: Final answer
    x = 229.96

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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.