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Finding the Fourth Proportional to 209.17, 290.65 and 206.92

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Solution

The fourth proportional to 209.17, 290.65 and 206.92 is: 287.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.17 : 290.65 = 206.92 : x
  2. Step 2: Convert to fraction form
    209.17/290.65 = 206.92/x
  3. Step 3: Cross multiply
    209.17x = 290.65 × 206.92
  4. Step 4: Simplify right side
    209.17x = 60,141.30
  5. Step 5: Solve for x
    x = 60,141.30/209.17
  6. Step 6: Final answer
    x = 287.52

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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.