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Finding the Fourth Proportional to 322.67, 444.93 and 249.17

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Solution

The fourth proportional to 322.67, 444.93 and 249.17 is: 343.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.67 : 444.93 = 249.17 : x
  2. Step 2: Convert to fraction form
    322.67/444.93 = 249.17/x
  3. Step 3: Cross multiply
    322.67x = 444.93 × 249.17
  4. Step 4: Simplify right side
    322.67x = 110,863.21
  5. Step 5: Solve for x
    x = 110,863.21/322.67
  6. Step 6: Final answer
    x = 343.58

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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.