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Finding the Fourth Proportional to 263.70, 363.12 and 208.27

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Solution

The fourth proportional to 263.70, 363.12 and 208.27 is: 286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.70 : 363.12 = 208.27 : x
  2. Step 2: Convert to fraction form
    263.70/363.12 = 208.27/x
  3. Step 3: Cross multiply
    263.70x = 363.12 × 208.27
  4. Step 4: Simplify right side
    263.70x = 75,626.35
  5. Step 5: Solve for x
    x = 75,626.35/263.70
  6. Step 6: Final answer
    x = 286.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.