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Finding the Fourth Proportional to 413.80, 620.02 and 250.99

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Solution

The fourth proportional to 413.80, 620.02 and 250.99 is: 376.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.80 : 620.02 = 250.99 : x
  2. Step 2: Convert to fraction form
    413.80/620.02 = 250.99/x
  3. Step 3: Cross multiply
    413.80x = 620.02 × 250.99
  4. Step 4: Simplify right side
    413.80x = 155,616.64
  5. Step 5: Solve for x
    x = 155,616.64/413.80
  6. Step 6: Final answer
    x = 376.07

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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.