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Finding the Fourth Proportional to 274.71, 413.80 and 250.48

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Solution

The fourth proportional to 274.71, 413.80 and 250.48 is: 377.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.71 : 413.80 = 250.48 : x
  2. Step 2: Convert to fraction form
    274.71/413.80 = 250.48/x
  3. Step 3: Cross multiply
    274.71x = 413.80 × 250.48
  4. Step 4: Simplify right side
    274.71x = 103,648.62
  5. Step 5: Solve for x
    x = 103,648.62/274.71
  6. Step 6: Final answer
    x = 377.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.