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Finding the Fourth Proportional to 422.12, 633.46 and 314.66

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Solution

The fourth proportional to 422.12, 633.46 and 314.66 is: 472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.12 : 633.46 = 314.66 : x
  2. Step 2: Convert to fraction form
    422.12/633.46 = 314.66/x
  3. Step 3: Cross multiply
    422.12x = 633.46 × 314.66
  4. Step 4: Simplify right side
    422.12x = 199,324.52
  5. Step 5: Solve for x
    x = 199,324.52/422.12
  6. Step 6: Final answer
    x = 472.20

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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.