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Finding the Fourth Proportional to 180.28, 269.84 and 98.92

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Solution

The fourth proportional to 180.28, 269.84 and 98.92 is: 148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.28 : 269.84 = 98.92 : x
  2. Step 2: Convert to fraction form
    180.28/269.84 = 98.92/x
  3. Step 3: Cross multiply
    180.28x = 269.84 × 98.92
  4. Step 4: Simplify right side
    180.28x = 26,692.57
  5. Step 5: Solve for x
    x = 26,692.57/180.28
  6. Step 6: Final answer
    x = 148.06

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