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Finding the Fourth Proportional to 413.22, 619.92 and 196.86

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Solution

The fourth proportional to 413.22, 619.92 and 196.86 is: 295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.22 : 619.92 = 196.86 : x
  2. Step 2: Convert to fraction form
    413.22/619.92 = 196.86/x
  3. Step 3: Cross multiply
    413.22x = 619.92 × 196.86
  4. Step 4: Simplify right side
    413.22x = 122,037.45
  5. Step 5: Solve for x
    x = 122,037.45/413.22
  6. Step 6: Final answer
    x = 295.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.