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Finding the Fourth Proportional to 209.37, 311.94 and 199.04

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Solution

The fourth proportional to 209.37, 311.94 and 199.04 is: 296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.37 : 311.94 = 199.04 : x
  2. Step 2: Convert to fraction form
    209.37/311.94 = 199.04/x
  3. Step 3: Cross multiply
    209.37x = 311.94 × 199.04
  4. Step 4: Simplify right side
    209.37x = 62,086.98
  5. Step 5: Solve for x
    x = 62,086.98/209.37
  6. Step 6: Final answer
    x = 296.54

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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.