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Finding the Fourth Proportional to 413.08, 618.82 and 196.36

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Solution

The fourth proportional to 413.08, 618.82 and 196.36 is: 294.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.08 : 618.82 = 196.36 : x
  2. Step 2: Convert to fraction form
    413.08/618.82 = 196.36/x
  3. Step 3: Cross multiply
    413.08x = 618.82 × 196.36
  4. Step 4: Simplify right side
    413.08x = 121,511.50
  5. Step 5: Solve for x
    x = 121,511.50/413.08
  6. Step 6: Final answer
    x = 294.16

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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.