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Finding the Fourth Proportional to 322.11, 444.56 and 197.75

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Solution

The fourth proportional to 322.11, 444.56 and 197.75 is: 272.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.11 : 444.56 = 197.75 : x
  2. Step 2: Convert to fraction form
    322.11/444.56 = 197.75/x
  3. Step 3: Cross multiply
    322.11x = 444.56 × 197.75
  4. Step 4: Simplify right side
    322.11x = 87,910.20
  5. Step 5: Solve for x
    x = 87,910.20/322.11
  6. Step 6: Final answer
    x = 272.92

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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.