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Finding the Fourth Proportional to 413.54, 620.76 and 249.38

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Solution

The fourth proportional to 413.54, 620.76 and 249.38 is: 374.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.54 : 620.76 = 249.38 : x
  2. Step 2: Convert to fraction form
    413.54/620.76 = 249.38/x
  3. Step 3: Cross multiply
    413.54x = 620.76 × 249.38
  4. Step 4: Simplify right side
    413.54x = 154,805.13
  5. Step 5: Solve for x
    x = 154,805.13/413.54
  6. Step 6: Final answer
    x = 374.34

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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.