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Finding the Fourth Proportional to 422.88, 634.88 and 355.24

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Solution

The fourth proportional to 422.88, 634.88 and 355.24 is: 533.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.88 : 634.88 = 355.24 : x
  2. Step 2: Convert to fraction form
    422.88/634.88 = 355.24/x
  3. Step 3: Cross multiply
    422.88x = 634.88 × 355.24
  4. Step 4: Simplify right side
    422.88x = 225,534.77
  5. Step 5: Solve for x
    x = 225,534.77/422.88
  6. Step 6: Final answer
    x = 533.33

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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.