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Finding the Fourth Proportional to 286.12, 426.43 and 283.74

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Solution

The fourth proportional to 286.12, 426.43 and 283.74 is: 422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.12 : 426.43 = 283.74 : x
  2. Step 2: Convert to fraction form
    286.12/426.43 = 283.74/x
  3. Step 3: Cross multiply
    286.12x = 426.43 × 283.74
  4. Step 4: Simplify right side
    286.12x = 120,995.25
  5. Step 5: Solve for x
    x = 120,995.25/286.12
  6. Step 6: Final answer
    x = 422.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.