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Finding the Fourth Proportional to 413.80, 620.28 and 259.84

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Solution

The fourth proportional to 413.80, 620.28 and 259.84 is: 389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.80 : 620.28 = 259.84 : x
  2. Step 2: Convert to fraction form
    413.80/620.28 = 259.84/x
  3. Step 3: Cross multiply
    413.80x = 620.28 × 259.84
  4. Step 4: Simplify right side
    413.80x = 161,173.56
  5. Step 5: Solve for x
    x = 161,173.56/413.80
  6. Step 6: Final answer
    x = 389.50

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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.