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Finding the Fourth Proportional to 324.97, 448.38 and 198.90

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Solution

The fourth proportional to 324.97, 448.38 and 198.90 is: 274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.97 : 448.38 = 198.90 : x
  2. Step 2: Convert to fraction form
    324.97/448.38 = 198.90/x
  3. Step 3: Cross multiply
    324.97x = 448.38 × 198.90
  4. Step 4: Simplify right side
    324.97x = 89,181.79
  5. Step 5: Solve for x
    x = 89,181.79/324.97
  6. Step 6: Final answer
    x = 274.44

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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.