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Finding the Fourth Proportional to 209.94, 288.38 and 203.80

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Solution

The fourth proportional to 209.94, 288.38 and 203.80 is: 279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.94 : 288.38 = 203.80 : x
  2. Step 2: Convert to fraction form
    209.94/288.38 = 203.80/x
  3. Step 3: Cross multiply
    209.94x = 288.38 × 203.80
  4. Step 4: Simplify right side
    209.94x = 58,771.84
  5. Step 5: Solve for x
    x = 58,771.84/209.94
  6. Step 6: Final answer
    x = 279.95

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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.