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Finding the Fourth Proportional to 222.51, 331.78 and 222.21

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Solution

The fourth proportional to 222.51, 331.78 and 222.21 is: 331.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.51 : 331.78 = 222.21 : x
  2. Step 2: Convert to fraction form
    222.51/331.78 = 222.21/x
  3. Step 3: Cross multiply
    222.51x = 331.78 × 222.21
  4. Step 4: Simplify right side
    222.51x = 73,724.69
  5. Step 5: Solve for x
    x = 73,724.69/222.51
  6. Step 6: Final answer
    x = 331.33

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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.