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Finding the Fourth Proportional to 323.23, 446.07 and 198.85

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Solution

The fourth proportional to 323.23, 446.07 and 198.85 is: 274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.23 : 446.07 = 198.85 : x
  2. Step 2: Convert to fraction form
    323.23/446.07 = 198.85/x
  3. Step 3: Cross multiply
    323.23x = 446.07 × 198.85
  4. Step 4: Simplify right side
    323.23x = 88,701.02
  5. Step 5: Solve for x
    x = 88,701.02/323.23
  6. Step 6: Final answer
    x = 274.42

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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.