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Finding the Fourth Proportional to 222.10, 331.42 and 192.94

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Solution

The fourth proportional to 222.10, 331.42 and 192.94 is: 287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.10 : 331.42 = 192.94 : x
  2. Step 2: Convert to fraction form
    222.10/331.42 = 192.94/x
  3. Step 3: Cross multiply
    222.10x = 331.42 × 192.94
  4. Step 4: Simplify right side
    222.10x = 63,942.86
  5. Step 5: Solve for x
    x = 63,942.86/222.10
  6. Step 6: Final answer
    x = 287.90

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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.