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Finding the Fourth Proportional to 274.92, 379.53 and 197.34

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Solution

The fourth proportional to 274.92, 379.53 and 197.34 is: 272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.92 : 379.53 = 197.34 : x
  2. Step 2: Convert to fraction form
    274.92/379.53 = 197.34/x
  3. Step 3: Cross multiply
    274.92x = 379.53 × 197.34
  4. Step 4: Simplify right side
    274.92x = 74,896.45
  5. Step 5: Solve for x
    x = 74,896.45/274.92
  6. Step 6: Final answer
    x = 272.43

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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.