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Finding the Fourth Proportional to 324.80, 448.17 and 308.38

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Solution

The fourth proportional to 324.80, 448.17 and 308.38 is: 425.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.80 : 448.17 = 308.38 : x
  2. Step 2: Convert to fraction form
    324.80/448.17 = 308.38/x
  3. Step 3: Cross multiply
    324.80x = 448.17 × 308.38
  4. Step 4: Simplify right side
    324.80x = 138,205.12
  5. Step 5: Solve for x
    x = 138,205.12/324.80
  6. Step 6: Final answer
    x = 425.51

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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.