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Finding the Fourth Proportional to 323.08, 446.08 and 198.91

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Solution

The fourth proportional to 323.08, 446.08 and 198.91 is: 274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.08 : 446.08 = 198.91 : x
  2. Step 2: Convert to fraction form
    323.08/446.08 = 198.91/x
  3. Step 3: Cross multiply
    323.08x = 446.08 × 198.91
  4. Step 4: Simplify right side
    323.08x = 88,729.77
  5. Step 5: Solve for x
    x = 88,729.77/323.08
  6. Step 6: Final answer
    x = 274.64

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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.