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Finding the Fourth Proportional to 286.38, 426.69 and 267.75

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Solution

The fourth proportional to 286.38, 426.69 and 267.75 is: 398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.38 : 426.69 = 267.75 : x
  2. Step 2: Convert to fraction form
    286.38/426.69 = 267.75/x
  3. Step 3: Cross multiply
    286.38x = 426.69 × 267.75
  4. Step 4: Simplify right side
    286.38x = 114,246.25
  5. Step 5: Solve for x
    x = 114,246.25/286.38
  6. Step 6: Final answer
    x = 398.93

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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.