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Finding the Fourth Proportional to 799.37, 1,198.96 and 214.43

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Solution

The fourth proportional to 799.37, 1,198.96 and 214.43 is: 321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.37 : 1,198.96 = 214.43 : x
  2. Step 2: Convert to fraction form
    799.37/1,198.96 = 214.43/x
  3. Step 3: Cross multiply
    799.37x = 1,198.96 × 214.43
  4. Step 4: Simplify right side
    799.37x = 257,092.99
  5. Step 5: Solve for x
    x = 257,092.99/799.37
  6. Step 6: Final answer
    x = 321.62

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Why These Related Problems?

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