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Finding the Fourth Proportional to 322.27, 444.75 and 198.01

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Solution

The fourth proportional to 322.27, 444.75 and 198.01 is: 273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.27 : 444.75 = 198.01 : x
  2. Step 2: Convert to fraction form
    322.27/444.75 = 198.01/x
  3. Step 3: Cross multiply
    322.27x = 444.75 × 198.01
  4. Step 4: Simplify right side
    322.27x = 88,062.26
  5. Step 5: Solve for x
    x = 88,062.26/322.27
  6. Step 6: Final answer
    x = 273.25

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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.