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Finding the Fourth Proportional to 286.26, 426.90 and 249.90

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Solution

The fourth proportional to 286.26, 426.90 and 249.90 is: 372.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.26 : 426.90 = 249.90 : x
  2. Step 2: Convert to fraction form
    286.26/426.90 = 249.90/x
  3. Step 3: Cross multiply
    286.26x = 426.90 × 249.90
  4. Step 4: Simplify right side
    286.26x = 106,682.31
  5. Step 5: Solve for x
    x = 106,682.31/286.26
  6. Step 6: Final answer
    x = 372.68

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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.