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Finding the Fourth Proportional to 209.82, 313.22 and 194.82

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Solution

The fourth proportional to 209.82, 313.22 and 194.82 is: 290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.82 : 313.22 = 194.82 : x
  2. Step 2: Convert to fraction form
    209.82/313.22 = 194.82/x
  3. Step 3: Cross multiply
    209.82x = 313.22 × 194.82
  4. Step 4: Simplify right side
    209.82x = 61,020.55
  5. Step 5: Solve for x
    x = 61,020.55/209.82
  6. Step 6: Final answer
    x = 290.82

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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.