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Finding the Fourth Proportional to 197.58, 272.68 and 132.24

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Solution

The fourth proportional to 197.58, 272.68 and 132.24 is: 182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.58 : 272.68 = 132.24 : x
  2. Step 2: Convert to fraction form
    197.58/272.68 = 132.24/x
  3. Step 3: Cross multiply
    197.58x = 272.68 × 132.24
  4. Step 4: Simplify right side
    197.58x = 36,059.20
  5. Step 5: Solve for x
    x = 36,059.20/197.58
  6. Step 6: Final answer
    x = 182.50

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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.