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Finding the Fourth Proportional to 413.56, 618.99 and 259.66

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Solution

The fourth proportional to 413.56, 618.99 and 259.66 is: 388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.56 : 618.99 = 259.66 : x
  2. Step 2: Convert to fraction form
    413.56/618.99 = 259.66/x
  3. Step 3: Cross multiply
    413.56x = 618.99 × 259.66
  4. Step 4: Simplify right side
    413.56x = 160,726.94
  5. Step 5: Solve for x
    x = 160,726.94/413.56
  6. Step 6: Final answer
    x = 388.64

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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.