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Finding the Fourth Proportional to 246.78, 338.41 and 222.14

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Solution

The fourth proportional to 246.78, 338.41 and 222.14 is: 304.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.78 : 338.41 = 222.14 : x
  2. Step 2: Convert to fraction form
    246.78/338.41 = 222.14/x
  3. Step 3: Cross multiply
    246.78x = 338.41 × 222.14
  4. Step 4: Simplify right side
    246.78x = 75,175.52
  5. Step 5: Solve for x
    x = 75,175.52/246.78
  6. Step 6: Final answer
    x = 304.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.