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Finding the Fourth Proportional to 209.25, 286.62 and 206.61

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Solution

The fourth proportional to 209.25, 286.62 and 206.61 is: 283.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.25 : 286.62 = 206.61 : x
  2. Step 2: Convert to fraction form
    209.25/286.62 = 206.61/x
  3. Step 3: Cross multiply
    209.25x = 286.62 × 206.61
  4. Step 4: Simplify right side
    209.25x = 59,218.56
  5. Step 5: Solve for x
    x = 59,218.56/209.25
  6. Step 6: Final answer
    x = 283.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.