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Finding the Fourth Proportional to 274.92, 379.34 and 238.36

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Solution

The fourth proportional to 274.92, 379.34 and 238.36 is: 328.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.92 : 379.34 = 238.36 : x
  2. Step 2: Convert to fraction form
    274.92/379.34 = 238.36/x
  3. Step 3: Cross multiply
    274.92x = 379.34 × 238.36
  4. Step 4: Simplify right side
    274.92x = 90,419.48
  5. Step 5: Solve for x
    x = 90,419.48/274.92
  6. Step 6: Final answer
    x = 328.89

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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.