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Finding the Fourth Proportional to 322.39, 444.90 and 191.38

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Solution

The fourth proportional to 322.39, 444.90 and 191.38 is: 264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.39 : 444.90 = 191.38 : x
  2. Step 2: Convert to fraction form
    322.39/444.90 = 191.38/x
  3. Step 3: Cross multiply
    322.39x = 444.90 × 191.38
  4. Step 4: Simplify right side
    322.39x = 85,144.96
  5. Step 5: Solve for x
    x = 85,144.96/322.39
  6. Step 6: Final answer
    x = 264.11

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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.