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Finding the Fourth Proportional to 209.11, 313.26 and 191.90

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Solution

The fourth proportional to 209.11, 313.26 and 191.90 is: 287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.11 : 313.26 = 191.90 : x
  2. Step 2: Convert to fraction form
    209.11/313.26 = 191.90/x
  3. Step 3: Cross multiply
    209.11x = 313.26 × 191.90
  4. Step 4: Simplify right side
    209.11x = 60,112.31
  5. Step 5: Solve for x
    x = 60,112.31/209.11
  6. Step 6: Final answer
    x = 287.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.