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Finding the Fourth Proportional to 209.46, 312.32 and 205.82

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Solution

The fourth proportional to 209.46, 312.32 and 205.82 is: 306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.46 : 312.32 = 205.82 : x
  2. Step 2: Convert to fraction form
    209.46/312.32 = 205.82/x
  3. Step 3: Cross multiply
    209.46x = 312.32 × 205.82
  4. Step 4: Simplify right side
    209.46x = 64,281.70
  5. Step 5: Solve for x
    x = 64,281.70/209.46
  6. Step 6: Final answer
    x = 306.89

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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.