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Finding the Fourth Proportional to 263.86, 363.33 and 208.42

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Solution

The fourth proportional to 263.86, 363.33 and 208.42 is: 286.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.86 : 363.33 = 208.42 : x
  2. Step 2: Convert to fraction form
    263.86/363.33 = 208.42/x
  3. Step 3: Cross multiply
    263.86x = 363.33 × 208.42
  4. Step 4: Simplify right side
    263.86x = 75,725.24
  5. Step 5: Solve for x
    x = 75,725.24/263.86
  6. Step 6: Final answer
    x = 286.99

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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.