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Finding the Fourth Proportional to 382.09, 575.38 and 274.63

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Solution

The fourth proportional to 382.09, 575.38 and 274.63 is: 413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.09 : 575.38 = 274.63 : x
  2. Step 2: Convert to fraction form
    382.09/575.38 = 274.63/x
  3. Step 3: Cross multiply
    382.09x = 575.38 × 274.63
  4. Step 4: Simplify right side
    382.09x = 158,016.61
  5. Step 5: Solve for x
    x = 158,016.61/382.09
  6. Step 6: Final answer
    x = 413.56

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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.