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Finding the Fourth Proportional to 413.14, 619.77 and 196.66

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Solution

The fourth proportional to 413.14, 619.77 and 196.66 is: 295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.14 : 619.77 = 196.66 : x
  2. Step 2: Convert to fraction form
    413.14/619.77 = 196.66/x
  3. Step 3: Cross multiply
    413.14x = 619.77 × 196.66
  4. Step 4: Simplify right side
    413.14x = 121,883.97
  5. Step 5: Solve for x
    x = 121,883.97/413.14
  6. Step 6: Final answer
    x = 295.02

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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.