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Finding the Fourth Proportional to 422.18, 581.11 and 369.59

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Solution

The fourth proportional to 422.18, 581.11 and 369.59 is: 508.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.18 : 581.11 = 369.59 : x
  2. Step 2: Convert to fraction form
    422.18/581.11 = 369.59/x
  3. Step 3: Cross multiply
    422.18x = 581.11 × 369.59
  4. Step 4: Simplify right side
    422.18x = 214,772.44
  5. Step 5: Solve for x
    x = 214,772.44/422.18
  6. Step 6: Final answer
    x = 508.73

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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.