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Finding the Fourth Proportional to 263.62, 394.82 and 209.55

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Solution

The fourth proportional to 263.62, 394.82 and 209.55 is: 313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.62 : 394.82 = 209.55 : x
  2. Step 2: Convert to fraction form
    263.62/394.82 = 209.55/x
  3. Step 3: Cross multiply
    263.62x = 394.82 × 209.55
  4. Step 4: Simplify right side
    263.62x = 82,736.93
  5. Step 5: Solve for x
    x = 82,736.93/263.62
  6. Step 6: Final answer
    x = 313.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.