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Finding the Fourth Proportional to 286.20, 427.20 and 249.72

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Solution

The fourth proportional to 286.20, 427.20 and 249.72 is: 372.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.20 : 427.20 = 249.72 : x
  2. Step 2: Convert to fraction form
    286.20/427.20 = 249.72/x
  3. Step 3: Cross multiply
    286.20x = 427.20 × 249.72
  4. Step 4: Simplify right side
    286.20x = 106,680.38
  5. Step 5: Solve for x
    x = 106,680.38/286.20
  6. Step 6: Final answer
    x = 372.75

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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.