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Finding the Fourth Proportional to 322.47, 444.96 and 198.18

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Solution

The fourth proportional to 322.47, 444.96 and 198.18 is: 273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.47 : 444.96 = 198.18 : x
  2. Step 2: Convert to fraction form
    322.47/444.96 = 198.18/x
  3. Step 3: Cross multiply
    322.47x = 444.96 × 198.18
  4. Step 4: Simplify right side
    322.47x = 88,182.17
  5. Step 5: Solve for x
    x = 88,182.17/322.47
  6. Step 6: Final answer
    x = 273.46

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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.