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Finding the Fourth Proportional to 422.66, 632.52 and 326.66

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Solution

The fourth proportional to 422.66, 632.52 and 326.66 is: 488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.66 : 632.52 = 326.66 : x
  2. Step 2: Convert to fraction form
    422.66/632.52 = 326.66/x
  3. Step 3: Cross multiply
    422.66x = 632.52 × 326.66
  4. Step 4: Simplify right side
    422.66x = 206,618.98
  5. Step 5: Solve for x
    x = 206,618.98/422.66
  6. Step 6: Final answer
    x = 488.85

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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.