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Finding the Fourth Proportional to 286.31, 396.78 and 282.98

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Solution

The fourth proportional to 286.31, 396.78 and 282.98 is: 392.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.31 : 396.78 = 282.98 : x
  2. Step 2: Convert to fraction form
    286.31/396.78 = 282.98/x
  3. Step 3: Cross multiply
    286.31x = 396.78 × 282.98
  4. Step 4: Simplify right side
    286.31x = 112,278.82
  5. Step 5: Solve for x
    x = 112,278.82/286.31
  6. Step 6: Final answer
    x = 392.17

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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.