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Finding the Fourth Proportional to 291.31, 401.98 and 180.75

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Solution

The fourth proportional to 291.31, 401.98 and 180.75 is: 249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.31 : 401.98 = 180.75 : x
  2. Step 2: Convert to fraction form
    291.31/401.98 = 180.75/x
  3. Step 3: Cross multiply
    291.31x = 401.98 × 180.75
  4. Step 4: Simplify right side
    291.31x = 72,657.89
  5. Step 5: Solve for x
    x = 72,657.89/291.31
  6. Step 6: Final answer
    x = 249.42

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