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Finding the Fourth Proportional to 274.78, 377.21 and 246.43

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Solution

The fourth proportional to 274.78, 377.21 and 246.43 is: 338.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.78 : 377.21 = 246.43 : x
  2. Step 2: Convert to fraction form
    274.78/377.21 = 246.43/x
  3. Step 3: Cross multiply
    274.78x = 377.21 × 246.43
  4. Step 4: Simplify right side
    274.78x = 92,955.86
  5. Step 5: Solve for x
    x = 92,955.86/274.78
  6. Step 6: Final answer
    x = 338.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.