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Finding the Fourth Proportional to 286.07, 396.44 and 282.59

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Solution

The fourth proportional to 286.07, 396.44 and 282.59 is: 391.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.07 : 396.44 = 282.59 : x
  2. Step 2: Convert to fraction form
    286.07/396.44 = 282.59/x
  3. Step 3: Cross multiply
    286.07x = 396.44 × 282.59
  4. Step 4: Simplify right side
    286.07x = 112,029.98
  5. Step 5: Solve for x
    x = 112,029.98/286.07
  6. Step 6: Final answer
    x = 391.62

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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.