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Finding the Fourth Proportional to 322.78, 445.68 and 198.61

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Solution

The fourth proportional to 322.78, 445.68 and 198.61 is: 274.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.78 : 445.68 = 198.61 : x
  2. Step 2: Convert to fraction form
    322.78/445.68 = 198.61/x
  3. Step 3: Cross multiply
    322.78x = 445.68 × 198.61
  4. Step 4: Simplify right side
    322.78x = 88,516.50
  5. Step 5: Solve for x
    x = 88,516.50/322.78
  6. Step 6: Final answer
    x = 274.23

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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.