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Finding the Fourth Proportional to 800.92, 1,201.38 and 223.78

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Solution

The fourth proportional to 800.92, 1,201.38 and 223.78 is: 335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.92 : 1,201.38 = 223.78 : x
  2. Step 2: Convert to fraction form
    800.92/1,201.38 = 223.78/x
  3. Step 3: Cross multiply
    800.92x = 1,201.38 × 223.78
  4. Step 4: Simplify right side
    800.92x = 268,844.82
  5. Step 5: Solve for x
    x = 268,844.82/800.92
  6. Step 6: Final answer
    x = 335.67

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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.