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Finding the Fourth Proportional to 209.86, 287.93 and 204.68

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Solution

The fourth proportional to 209.86, 287.93 and 204.68 is: 280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.86 : 287.93 = 204.68 : x
  2. Step 2: Convert to fraction form
    209.86/287.93 = 204.68/x
  3. Step 3: Cross multiply
    209.86x = 287.93 × 204.68
  4. Step 4: Simplify right side
    209.86x = 58,934.74
  5. Step 5: Solve for x
    x = 58,934.74/209.86
  6. Step 6: Final answer
    x = 280.83

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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.