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Finding the Fourth Proportional to 246.75, 338.69 and 218.49

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Solution

The fourth proportional to 246.75, 338.69 and 218.49 is: 299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.75 : 338.69 = 218.49 : x
  2. Step 2: Convert to fraction form
    246.75/338.69 = 218.49/x
  3. Step 3: Cross multiply
    246.75x = 338.69 × 218.49
  4. Step 4: Simplify right side
    246.75x = 74,000.38
  5. Step 5: Solve for x
    x = 74,000.38/246.75
  6. Step 6: Final answer
    x = 299.90

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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.