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Finding the Fourth Proportional to 222.22, 331.46 and 199.15

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Solution

The fourth proportional to 222.22, 331.46 and 199.15 is: 297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.22 : 331.46 = 199.15 : x
  2. Step 2: Convert to fraction form
    222.22/331.46 = 199.15/x
  3. Step 3: Cross multiply
    222.22x = 331.46 × 199.15
  4. Step 4: Simplify right side
    222.22x = 66,010.26
  5. Step 5: Solve for x
    x = 66,010.26/222.22
  6. Step 6: Final answer
    x = 297.05

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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.