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Finding the Fourth Proportional to 422.20, 632.82 and 285.36

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Solution

The fourth proportional to 422.20, 632.82 and 285.36 is: 427.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.20 : 632.82 = 285.36 : x
  2. Step 2: Convert to fraction form
    422.20/632.82 = 285.36/x
  3. Step 3: Cross multiply
    422.20x = 632.82 × 285.36
  4. Step 4: Simplify right side
    422.20x = 180,581.52
  5. Step 5: Solve for x
    x = 180,581.52/422.20
  6. Step 6: Final answer
    x = 427.72

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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.