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Finding the Fourth Proportional to 209.04, 311.59 and 205.80

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Solution

The fourth proportional to 209.04, 311.59 and 205.80 is: 306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.04 : 311.59 = 205.80 : x
  2. Step 2: Convert to fraction form
    209.04/311.59 = 205.80/x
  3. Step 3: Cross multiply
    209.04x = 311.59 × 205.80
  4. Step 4: Simplify right side
    209.04x = 64,125.22
  5. Step 5: Solve for x
    x = 64,125.22/209.04
  6. Step 6: Final answer
    x = 306.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.