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Finding the Fourth Proportional to 323.31, 445.90 and 198.74

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Solution

The fourth proportional to 323.31, 445.90 and 198.74 is: 274.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.31 : 445.90 = 198.74 : x
  2. Step 2: Convert to fraction form
    323.31/445.90 = 198.74/x
  3. Step 3: Cross multiply
    323.31x = 445.90 × 198.74
  4. Step 4: Simplify right side
    323.31x = 88,620.55
  5. Step 5: Solve for x
    x = 88,620.55/323.31
  6. Step 6: Final answer
    x = 274.11

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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.