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Finding the Fourth Proportional to 422.28, 579.08 and 401.22

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Solution

The fourth proportional to 422.28, 579.08 and 401.22 is: 550.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.28 : 579.08 = 401.22 : x
  2. Step 2: Convert to fraction form
    422.28/579.08 = 401.22/x
  3. Step 3: Cross multiply
    422.28x = 579.08 × 401.22
  4. Step 4: Simplify right side
    422.28x = 232,339.48
  5. Step 5: Solve for x
    x = 232,339.48/422.28
  6. Step 6: Final answer
    x = 550.20

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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.