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Finding the Fourth Proportional to 222.77, 335.39 and 200.45

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Solution

The fourth proportional to 222.77, 335.39 and 200.45 is: 301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.77 : 335.39 = 200.45 : x
  2. Step 2: Convert to fraction form
    222.77/335.39 = 200.45/x
  3. Step 3: Cross multiply
    222.77x = 335.39 × 200.45
  4. Step 4: Simplify right side
    222.77x = 67,226.25
  5. Step 5: Solve for x
    x = 67,226.25/222.77
  6. Step 6: Final answer
    x = 301.78

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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.