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Finding the Fourth Proportional to 286.12, 427.27 and 224.56

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Solution

The fourth proportional to 286.12, 427.27 and 224.56 is: 335.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.12 : 427.27 = 224.56 : x
  2. Step 2: Convert to fraction form
    286.12/427.27 = 224.56/x
  3. Step 3: Cross multiply
    286.12x = 427.27 × 224.56
  4. Step 4: Simplify right side
    286.12x = 95,947.75
  5. Step 5: Solve for x
    x = 95,947.75/286.12
  6. Step 6: Final answer
    x = 335.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.