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Finding the Fourth Proportional to 221.07, 332.94 and 199.68

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Solution

The fourth proportional to 221.07, 332.94 and 199.68 is: 300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.07 : 332.94 = 199.68 : x
  2. Step 2: Convert to fraction form
    221.07/332.94 = 199.68/x
  3. Step 3: Cross multiply
    221.07x = 332.94 × 199.68
  4. Step 4: Simplify right side
    221.07x = 66,481.46
  5. Step 5: Solve for x
    x = 66,481.46/221.07
  6. Step 6: Final answer
    x = 300.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.