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Finding the Fourth Proportional to 322.48, 443.09 and 308.17

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Solution

The fourth proportional to 322.48, 443.09 and 308.17 is: 423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.48 : 443.09 = 308.17 : x
  2. Step 2: Convert to fraction form
    322.48/443.09 = 308.17/x
  3. Step 3: Cross multiply
    322.48x = 443.09 × 308.17
  4. Step 4: Simplify right side
    322.48x = 136,547.05
  5. Step 5: Solve for x
    x = 136,547.05/322.48
  6. Step 6: Final answer
    x = 423.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.