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Finding the Fourth Proportional to 322.78, 446.07 and 286.78

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Solution

The fourth proportional to 322.78, 446.07 and 286.78 is: 396.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.78 : 446.07 = 286.78 : x
  2. Step 2: Convert to fraction form
    322.78/446.07 = 286.78/x
  3. Step 3: Cross multiply
    322.78x = 446.07 × 286.78
  4. Step 4: Simplify right side
    322.78x = 127,923.95
  5. Step 5: Solve for x
    x = 127,923.95/322.78
  6. Step 6: Final answer
    x = 396.32

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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.