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Finding the Fourth Proportional to 286.57, 394.56 and 224.32

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Solution

The fourth proportional to 286.57, 394.56 and 224.32 is: 308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.57 : 394.56 = 224.32 : x
  2. Step 2: Convert to fraction form
    286.57/394.56 = 224.32/x
  3. Step 3: Cross multiply
    286.57x = 394.56 × 224.32
  4. Step 4: Simplify right side
    286.57x = 88,507.70
  5. Step 5: Solve for x
    x = 88,507.70/286.57
  6. Step 6: Final answer
    x = 308.85

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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.