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Finding the Fourth Proportional to 422.72, 635.20 and 230.48

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Solution

The fourth proportional to 422.72, 635.20 and 230.48 is: 346.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.72 : 635.20 = 230.48 : x
  2. Step 2: Convert to fraction form
    422.72/635.20 = 230.48/x
  3. Step 3: Cross multiply
    422.72x = 635.20 × 230.48
  4. Step 4: Simplify right side
    422.72x = 146,400.90
  5. Step 5: Solve for x
    x = 146,400.90/422.72
  6. Step 6: Final answer
    x = 346.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.