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Finding the Fourth Proportional to 274.45, 378.65 and 186.97

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Solution

The fourth proportional to 274.45, 378.65 and 186.97 is: 257.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.45 : 378.65 = 186.97 : x
  2. Step 2: Convert to fraction form
    274.45/378.65 = 186.97/x
  3. Step 3: Cross multiply
    274.45x = 378.65 × 186.97
  4. Step 4: Simplify right side
    274.45x = 70,793.36
  5. Step 5: Solve for x
    x = 70,793.36/274.45
  6. Step 6: Final answer
    x = 257.95

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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.