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Finding the Fourth Proportional to 338.27, 505.22 and 276.71

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Solution

The fourth proportional to 338.27, 505.22 and 276.71 is: 413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.27 : 505.22 = 276.71 : x
  2. Step 2: Convert to fraction form
    338.27/505.22 = 276.71/x
  3. Step 3: Cross multiply
    338.27x = 505.22 × 276.71
  4. Step 4: Simplify right side
    338.27x = 139,799.43
  5. Step 5: Solve for x
    x = 139,799.43/338.27
  6. Step 6: Final answer
    x = 413.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.