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Finding the Fourth Proportional to 246.48, 339.97 and 199.85

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Solution

The fourth proportional to 246.48, 339.97 and 199.85 is: 275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.48 : 339.97 = 199.85 : x
  2. Step 2: Convert to fraction form
    246.48/339.97 = 199.85/x
  3. Step 3: Cross multiply
    246.48x = 339.97 × 199.85
  4. Step 4: Simplify right side
    246.48x = 67,943.73
  5. Step 5: Solve for x
    x = 67,943.73/246.48
  6. Step 6: Final answer
    x = 275.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.