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Finding the Fourth Proportional to 197.46, 272.52 and 123.78

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Solution

The fourth proportional to 197.46, 272.52 and 123.78 is: 170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.46 : 272.52 = 123.78 : x
  2. Step 2: Convert to fraction form
    197.46/272.52 = 123.78/x
  3. Step 3: Cross multiply
    197.46x = 272.52 × 123.78
  4. Step 4: Simplify right side
    197.46x = 33,732.53
  5. Step 5: Solve for x
    x = 33,732.53/197.46
  6. Step 6: Final answer
    x = 170.83

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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.