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Finding the Fourth Proportional to 322.49, 444.88 and 198.10

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Solution

The fourth proportional to 322.49, 444.88 and 198.10 is: 273.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.49 : 444.88 = 198.10 : x
  2. Step 2: Convert to fraction form
    322.49/444.88 = 198.10/x
  3. Step 3: Cross multiply
    322.49x = 444.88 × 198.10
  4. Step 4: Simplify right side
    322.49x = 88,133.34
  5. Step 5: Solve for x
    x = 88,133.34/322.49
  6. Step 6: Final answer
    x = 273.29

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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.