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Finding the Fourth Proportional to 422.26, 579.20 and 415.38

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Solution

The fourth proportional to 422.26, 579.20 and 415.38 is: 569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.26 : 579.20 = 415.38 : x
  2. Step 2: Convert to fraction form
    422.26/579.20 = 415.38/x
  3. Step 3: Cross multiply
    422.26x = 579.20 × 415.38
  4. Step 4: Simplify right side
    422.26x = 240,588.10
  5. Step 5: Solve for x
    x = 240,588.10/422.26
  6. Step 6: Final answer
    x = 569.76

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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.