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Finding the Fourth Proportional to 209.07, 311.91 and 196.29

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Solution

The fourth proportional to 209.07, 311.91 and 196.29 is: 292.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.07 : 311.91 = 196.29 : x
  2. Step 2: Convert to fraction form
    209.07/311.91 = 196.29/x
  3. Step 3: Cross multiply
    209.07x = 311.91 × 196.29
  4. Step 4: Simplify right side
    209.07x = 61,224.81
  5. Step 5: Solve for x
    x = 61,224.81/209.07
  6. Step 6: Final answer
    x = 292.84

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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.