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Finding the Fourth Proportional to 274.88, 378.78 and 196.05

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Solution

The fourth proportional to 274.88, 378.78 and 196.05 is: 270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.88 : 378.78 = 196.05 : x
  2. Step 2: Convert to fraction form
    274.88/378.78 = 196.05/x
  3. Step 3: Cross multiply
    274.88x = 378.78 × 196.05
  4. Step 4: Simplify right side
    274.88x = 74,261.61
  5. Step 5: Solve for x
    x = 74,261.61/274.88
  6. Step 6: Final answer
    x = 270.16

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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.