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Finding the Fourth Proportional to 413.82, 619.92 and 259.92

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Solution

The fourth proportional to 413.82, 619.92 and 259.92 is: 389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.82 : 619.92 = 259.92 : x
  2. Step 2: Convert to fraction form
    413.82/619.92 = 259.92/x
  3. Step 3: Cross multiply
    413.82x = 619.92 × 259.92
  4. Step 4: Simplify right side
    413.82x = 161,129.61
  5. Step 5: Solve for x
    x = 161,129.61/413.82
  6. Step 6: Final answer
    x = 389.37

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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.