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Finding the Fourth Proportional to 221.09, 332.96 and 199.67

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Solution

The fourth proportional to 221.09, 332.96 and 199.67 is: 300.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.09 : 332.96 = 199.67 : x
  2. Step 2: Convert to fraction form
    221.09/332.96 = 199.67/x
  3. Step 3: Cross multiply
    221.09x = 332.96 × 199.67
  4. Step 4: Simplify right side
    221.09x = 66,479.46
  5. Step 5: Solve for x
    x = 66,479.46/221.09
  6. Step 6: Final answer
    x = 300.70

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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.