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Finding the Fourth Proportional to 209.23, 290.73 and 207.11

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Solution

The fourth proportional to 209.23, 290.73 and 207.11 is: 287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.23 : 290.73 = 207.11 : x
  2. Step 2: Convert to fraction form
    209.23/290.73 = 207.11/x
  3. Step 3: Cross multiply
    209.23x = 290.73 × 207.11
  4. Step 4: Simplify right side
    209.23x = 60,213.09
  5. Step 5: Solve for x
    x = 60,213.09/209.23
  6. Step 6: Final answer
    x = 287.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.