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Finding the Fourth Proportional to 221.82, 331.18 and 199.94

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Solution

The fourth proportional to 221.82, 331.18 and 199.94 is: 298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.82 : 331.18 = 199.94 : x
  2. Step 2: Convert to fraction form
    221.82/331.18 = 199.94/x
  3. Step 3: Cross multiply
    221.82x = 331.18 × 199.94
  4. Step 4: Simplify right side
    221.82x = 66,216.13
  5. Step 5: Solve for x
    x = 66,216.13/221.82
  6. Step 6: Final answer
    x = 298.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.