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Finding the Fourth Proportional to 209.07, 311.89 and 194.34

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Solution

The fourth proportional to 209.07, 311.89 and 194.34 is: 289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.07 : 311.89 = 194.34 : x
  2. Step 2: Convert to fraction form
    209.07/311.89 = 194.34/x
  3. Step 3: Cross multiply
    209.07x = 311.89 × 194.34
  4. Step 4: Simplify right side
    209.07x = 60,612.70
  5. Step 5: Solve for x
    x = 60,612.70/209.07
  6. Step 6: Final answer
    x = 289.92

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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.