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Finding the Fourth Proportional to 222.51, 331.77 and 199.42

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Solution

The fourth proportional to 222.51, 331.77 and 199.42 is: 297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.51 : 331.77 = 199.42 : x
  2. Step 2: Convert to fraction form
    222.51/331.77 = 199.42/x
  3. Step 3: Cross multiply
    222.51x = 331.77 × 199.42
  4. Step 4: Simplify right side
    222.51x = 66,161.57
  5. Step 5: Solve for x
    x = 66,161.57/222.51
  6. Step 6: Final answer
    x = 297.34

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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.