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Finding the Fourth Proportional to 422.40, 582.90 and 267

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Solution

The fourth proportional to 422.40, 582.90 and 267 is: 368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.40 : 582.90 = 267 : x
  2. Step 2: Convert to fraction form
    422.40/582.90 = 267/x
  3. Step 3: Cross multiply
    422.40x = 582.90 × 267
  4. Step 4: Simplify right side
    422.40x = 155,634.30
  5. Step 5: Solve for x
    x = 155,634.30/422.40
  6. Step 6: Final answer
    x = 368.45

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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.