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Finding the Fourth Proportional to 322.11, 446.78 and 309.15

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Solution

The fourth proportional to 322.11, 446.78 and 309.15 is: 428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.11 : 446.78 = 309.15 : x
  2. Step 2: Convert to fraction form
    322.11/446.78 = 309.15/x
  3. Step 3: Cross multiply
    322.11x = 446.78 × 309.15
  4. Step 4: Simplify right side
    322.11x = 138,120.49
  5. Step 5: Solve for x
    x = 138,120.49/322.11
  6. Step 6: Final answer
    x = 428.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.