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Finding the Fourth Proportional to 422.18, 578.88 and 380.56

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Solution

The fourth proportional to 422.18, 578.88 and 380.56 is: 521.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.18 : 578.88 = 380.56 : x
  2. Step 2: Convert to fraction form
    422.18/578.88 = 380.56/x
  3. Step 3: Cross multiply
    422.18x = 578.88 × 380.56
  4. Step 4: Simplify right side
    422.18x = 220,298.57
  5. Step 5: Solve for x
    x = 220,298.57/422.18
  6. Step 6: Final answer
    x = 521.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.