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Finding the Fourth Proportional to 322.66, 445.17 and 198.28

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Solution

The fourth proportional to 322.66, 445.17 and 198.28 is: 273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.66 : 445.17 = 198.28 : x
  2. Step 2: Convert to fraction form
    322.66/445.17 = 198.28/x
  3. Step 3: Cross multiply
    322.66x = 445.17 × 198.28
  4. Step 4: Simplify right side
    322.66x = 88,268.31
  5. Step 5: Solve for x
    x = 88,268.31/322.66
  6. Step 6: Final answer
    x = 273.56

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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.