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Finding the Fourth Proportional to 274.10, 376.12 and 249.35

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Solution

The fourth proportional to 274.10, 376.12 and 249.35 is: 342.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.10 : 376.12 = 249.35 : x
  2. Step 2: Convert to fraction form
    274.10/376.12 = 249.35/x
  3. Step 3: Cross multiply
    274.10x = 376.12 × 249.35
  4. Step 4: Simplify right side
    274.10x = 93,785.52
  5. Step 5: Solve for x
    x = 93,785.52/274.10
  6. Step 6: Final answer
    x = 342.16

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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.