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Finding the Fourth Proportional to 422.62, 633.21 and 230.38

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Solution

The fourth proportional to 422.62, 633.21 and 230.38 is: 345.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.62 : 633.21 = 230.38 : x
  2. Step 2: Convert to fraction form
    422.62/633.21 = 230.38/x
  3. Step 3: Cross multiply
    422.62x = 633.21 × 230.38
  4. Step 4: Simplify right side
    422.62x = 145,878.92
  5. Step 5: Solve for x
    x = 145,878.92/422.62
  6. Step 6: Final answer
    x = 345.18

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