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Finding the Fourth Proportional to 197.74, 272.80 and 132.27

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Solution

The fourth proportional to 197.74, 272.80 and 132.27 is: 182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.74 : 272.80 = 132.27 : x
  2. Step 2: Convert to fraction form
    197.74/272.80 = 132.27/x
  3. Step 3: Cross multiply
    197.74x = 272.80 × 132.27
  4. Step 4: Simplify right side
    197.74x = 36,083.26
  5. Step 5: Solve for x
    x = 36,083.26/197.74
  6. Step 6: Final answer
    x = 182.48

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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.