Finding the Fourth Proportional to 300.06, 413.71 and 189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300.06 : 413.71 = 189.50 : x
2. Step 2: Convert to fraction form
   300.06/413.71 = 189.50/x
3. Step 3: Cross multiply
   300.06x = 413.71 × 189.50
4. Step 4: Simplify right side
   300.06x = 78,395.50
5. Step 5: Solve for x
   x = 78,395.50/300.06
6. Step 6: Final answer
   x = 261.27