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Finding the Fourth Proportional to 286.85, 429.91 and 250.61

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Solution

The fourth proportional to 286.85, 429.91 and 250.61 is: 375.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.85 : 429.91 = 250.61 : x
  2. Step 2: Convert to fraction form
    286.85/429.91 = 250.61/x
  3. Step 3: Cross multiply
    286.85x = 429.91 × 250.61
  4. Step 4: Simplify right side
    286.85x = 107,736.97
  5. Step 5: Solve for x
    x = 107,736.97/286.85
  6. Step 6: Final answer
    x = 375.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.