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Finding the Fourth Proportional to 422.29, 634.44 and 276.16

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Solution

The fourth proportional to 422.29, 634.44 and 276.16 is: 414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.29 : 634.44 = 276.16 : x
  2. Step 2: Convert to fraction form
    422.29/634.44 = 276.16/x
  3. Step 3: Cross multiply
    422.29x = 634.44 × 276.16
  4. Step 4: Simplify right side
    422.29x = 175,206.95
  5. Step 5: Solve for x
    x = 175,206.95/422.29
  6. Step 6: Final answer
    x = 414.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.