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Finding the Fourth Proportional to 209.85, 287.67 and 208.44

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Solution

The fourth proportional to 209.85, 287.67 and 208.44 is: 285.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.85 : 287.67 = 208.44 : x
  2. Step 2: Convert to fraction form
    209.85/287.67 = 208.44/x
  3. Step 3: Cross multiply
    209.85x = 287.67 × 208.44
  4. Step 4: Simplify right side
    209.85x = 59,961.93
  5. Step 5: Solve for x
    x = 59,961.93/209.85
  6. Step 6: Final answer
    x = 285.74

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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.