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Finding the Fourth Proportional to 274.38, 378.43 and 191.49

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Solution

The fourth proportional to 274.38, 378.43 and 191.49 is: 264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.38 : 378.43 = 191.49 : x
  2. Step 2: Convert to fraction form
    274.38/378.43 = 191.49/x
  3. Step 3: Cross multiply
    274.38x = 378.43 × 191.49
  4. Step 4: Simplify right side
    274.38x = 72,465.56
  5. Step 5: Solve for x
    x = 72,465.56/274.38
  6. Step 6: Final answer
    x = 264.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.