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Finding the Fourth Proportional to 322.30, 444.72 and 198.10

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Solution

The fourth proportional to 322.30, 444.72 and 198.10 is: 273.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.30 : 444.72 = 198.10 : x
  2. Step 2: Convert to fraction form
    322.30/444.72 = 198.10/x
  3. Step 3: Cross multiply
    322.30x = 444.72 × 198.10
  4. Step 4: Simplify right side
    322.30x = 88,099.03
  5. Step 5: Solve for x
    x = 88,099.03/322.30
  6. Step 6: Final answer
    x = 273.34

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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.