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Finding the Fourth Proportional to 286.75, 396.07 and 282.43

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Solution

The fourth proportional to 286.75, 396.07 and 282.43 is: 390.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.75 : 396.07 = 282.43 : x
  2. Step 2: Convert to fraction form
    286.75/396.07 = 282.43/x
  3. Step 3: Cross multiply
    286.75x = 396.07 × 282.43
  4. Step 4: Simplify right side
    286.75x = 111,863.43
  5. Step 5: Solve for x
    x = 111,863.43/286.75
  6. Step 6: Final answer
    x = 390.11

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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.