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Finding the Fourth Proportional to 197.27, 272.14 and 135.11

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Solution

The fourth proportional to 197.27, 272.14 and 135.11 is: 186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.27 : 272.14 = 135.11 : x
  2. Step 2: Convert to fraction form
    197.27/272.14 = 135.11/x
  3. Step 3: Cross multiply
    197.27x = 272.14 × 135.11
  4. Step 4: Simplify right side
    197.27x = 36,767.14
  5. Step 5: Solve for x
    x = 36,767.14/197.27
  6. Step 6: Final answer
    x = 186.38

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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.