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Finding the Fourth Proportional to 209.05, 286.74 and 203.18

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Solution

The fourth proportional to 209.05, 286.74 and 203.18 is: 278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.05 : 286.74 = 203.18 : x
  2. Step 2: Convert to fraction form
    209.05/286.74 = 203.18/x
  3. Step 3: Cross multiply
    209.05x = 286.74 × 203.18
  4. Step 4: Simplify right side
    209.05x = 58,258.40
  5. Step 5: Solve for x
    x = 58,258.40/209.05
  6. Step 6: Final answer
    x = 278.68

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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.