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Finding the Fourth Proportional to 209.08, 286.83 and 203.39

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Solution

The fourth proportional to 209.08, 286.83 and 203.39 is: 279.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.08 : 286.83 = 203.39 : x
  2. Step 2: Convert to fraction form
    209.08/286.83 = 203.39/x
  3. Step 3: Cross multiply
    209.08x = 286.83 × 203.39
  4. Step 4: Simplify right side
    209.08x = 58,338.35
  5. Step 5: Solve for x
    x = 58,338.35/209.08
  6. Step 6: Final answer
    x = 279.02

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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.