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Finding the Fourth Proportional to 197.14, 272.14 and 138.96

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Solution

The fourth proportional to 197.14, 272.14 and 138.96 is: 191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.14 : 272.14 = 138.96 : x
  2. Step 2: Convert to fraction form
    197.14/272.14 = 138.96/x
  3. Step 3: Cross multiply
    197.14x = 272.14 × 138.96
  4. Step 4: Simplify right side
    197.14x = 37,816.57
  5. Step 5: Solve for x
    x = 37,816.57/197.14
  6. Step 6: Final answer
    x = 191.83

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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.