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Finding the Fourth Proportional to 286.44, 397.25 and 268.62

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Solution

The fourth proportional to 286.44, 397.25 and 268.62 is: 372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.44 : 397.25 = 268.62 : x
  2. Step 2: Convert to fraction form
    286.44/397.25 = 268.62/x
  3. Step 3: Cross multiply
    286.44x = 397.25 × 268.62
  4. Step 4: Simplify right side
    286.44x = 106,709.97
  5. Step 5: Solve for x
    x = 106,709.97/286.44
  6. Step 6: Final answer
    x = 372.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.