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Finding the Fourth Proportional to 283.31, 422.49 and 267.95

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Solution

The fourth proportional to 283.31, 422.49 and 267.95 is: 399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.31 : 422.49 = 267.95 : x
  2. Step 2: Convert to fraction form
    283.31/422.49 = 267.95/x
  3. Step 3: Cross multiply
    283.31x = 422.49 × 267.95
  4. Step 4: Simplify right side
    283.31x = 113,204.08
  5. Step 5: Solve for x
    x = 113,204.08/283.31
  6. Step 6: Final answer
    x = 399.58

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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.