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Finding the Fourth Proportional to 246.69, 338.57 and 219.85

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Solution

The fourth proportional to 246.69, 338.57 and 219.85 is: 301.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.69 : 338.57 = 219.85 : x
  2. Step 2: Convert to fraction form
    246.69/338.57 = 219.85/x
  3. Step 3: Cross multiply
    246.69x = 338.57 × 219.85
  4. Step 4: Simplify right side
    246.69x = 74,433.52
  5. Step 5: Solve for x
    x = 74,433.52/246.69
  6. Step 6: Final answer
    x = 301.74

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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.