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Finding the Fourth Proportional to 263.62, 363.64 and 189.84

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Solution

The fourth proportional to 263.62, 363.64 and 189.84 is: 261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.62 : 363.64 = 189.84 : x
  2. Step 2: Convert to fraction form
    263.62/363.64 = 189.84/x
  3. Step 3: Cross multiply
    263.62x = 363.64 × 189.84
  4. Step 4: Simplify right side
    263.62x = 69,032.47
  5. Step 5: Solve for x
    x = 69,032.47/263.62
  6. Step 6: Final answer
    x = 261.87

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