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Finding the Fourth Proportional to 286.90, 396.12 and 204.28

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Solution

The fourth proportional to 286.90, 396.12 and 204.28 is: 282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.90 : 396.12 = 204.28 : x
  2. Step 2: Convert to fraction form
    286.90/396.12 = 204.28/x
  3. Step 3: Cross multiply
    286.90x = 396.12 × 204.28
  4. Step 4: Simplify right side
    286.90x = 80,919.39
  5. Step 5: Solve for x
    x = 80,919.39/286.90
  6. Step 6: Final answer
    x = 282.05

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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.