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Finding the Fourth Proportional to 422.67, 582.66 and 366.30

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Solution

The fourth proportional to 422.67, 582.66 and 366.30 is: 504.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.67 : 582.66 = 366.30 : x
  2. Step 2: Convert to fraction form
    422.67/582.66 = 366.30/x
  3. Step 3: Cross multiply
    422.67x = 582.66 × 366.30
  4. Step 4: Simplify right side
    422.67x = 213,428.36
  5. Step 5: Solve for x
    x = 213,428.36/422.67
  6. Step 6: Final answer
    x = 504.95

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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.