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Finding the Fourth Proportional to 426.12, 588.12 and 249.12

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Solution

The fourth proportional to 426.12, 588.12 and 249.12 is: 343.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.12 : 588.12 = 249.12 : x
  2. Step 2: Convert to fraction form
    426.12/588.12 = 249.12/x
  3. Step 3: Cross multiply
    426.12x = 588.12 × 249.12
  4. Step 4: Simplify right side
    426.12x = 146,512.45
  5. Step 5: Solve for x
    x = 146,512.45/426.12
  6. Step 6: Final answer
    x = 343.83

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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.