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Finding the Fourth Proportional to 286.25, 396.65 and 268.91

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Solution

The fourth proportional to 286.25, 396.65 and 268.91 is: 372.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.25 : 396.65 = 268.91 : x
  2. Step 2: Convert to fraction form
    286.25/396.65 = 268.91/x
  3. Step 3: Cross multiply
    286.25x = 396.65 × 268.91
  4. Step 4: Simplify right side
    286.25x = 106,663.15
  5. Step 5: Solve for x
    x = 106,663.15/286.25
  6. Step 6: Final answer
    x = 372.62

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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.