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Finding the Fourth Proportional to 413.05, 619.65 and 196.63

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Solution

The fourth proportional to 413.05, 619.65 and 196.63 is: 294.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.05 : 619.65 = 196.63 : x
  2. Step 2: Convert to fraction form
    413.05/619.65 = 196.63/x
  3. Step 3: Cross multiply
    413.05x = 619.65 × 196.63
  4. Step 4: Simplify right side
    413.05x = 121,838.19
  5. Step 5: Solve for x
    x = 121,838.19/413.05
  6. Step 6: Final answer
    x = 294.97

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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.