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Finding the Fourth Proportional to 209.32, 311.78 and 205.67

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Solution

The fourth proportional to 209.32, 311.78 and 205.67 is: 306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.32 : 311.78 = 205.67 : x
  2. Step 2: Convert to fraction form
    209.32/311.78 = 205.67/x
  3. Step 3: Cross multiply
    209.32x = 311.78 × 205.67
  4. Step 4: Simplify right side
    209.32x = 64,125.09
  5. Step 5: Solve for x
    x = 64,125.09/209.32
  6. Step 6: Final answer
    x = 306.35

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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.