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Finding the Fourth Proportional to 263.94, 363.66 and 208.86

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Solution

The fourth proportional to 263.94, 363.66 and 208.86 is: 287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.94 : 363.66 = 208.86 : x
  2. Step 2: Convert to fraction form
    263.94/363.66 = 208.86/x
  3. Step 3: Cross multiply
    263.94x = 363.66 × 208.86
  4. Step 4: Simplify right side
    263.94x = 75,954.03
  5. Step 5: Solve for x
    x = 75,954.03/263.94
  6. Step 6: Final answer
    x = 287.77

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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.