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Finding the Fourth Proportional to 263.78, 363.90 and 185.24

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Solution

The fourth proportional to 263.78, 363.90 and 185.24 is: 255.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.78 : 363.90 = 185.24 : x
  2. Step 2: Convert to fraction form
    263.78/363.90 = 185.24/x
  3. Step 3: Cross multiply
    263.78x = 363.90 × 185.24
  4. Step 4: Simplify right side
    263.78x = 67,408.84
  5. Step 5: Solve for x
    x = 67,408.84/263.78
  6. Step 6: Final answer
    x = 255.55

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