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Finding the Fourth Proportional to 662.11, 993.17 and 229.30

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Solution

The fourth proportional to 662.11, 993.17 and 229.30 is: 343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.11 : 993.17 = 229.30 : x
  2. Step 2: Convert to fraction form
    662.11/993.17 = 229.30/x
  3. Step 3: Cross multiply
    662.11x = 993.17 × 229.30
  4. Step 4: Simplify right side
    662.11x = 227,733.88
  5. Step 5: Solve for x
    x = 227,733.88/662.11
  6. Step 6: Final answer
    x = 343.95

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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.