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Finding the Fourth Proportional to 274.92, 378.81 and 209.31

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Solution

The fourth proportional to 274.92, 378.81 and 209.31 is: 288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.92 : 378.81 = 209.31 : x
  2. Step 2: Convert to fraction form
    274.92/378.81 = 209.31/x
  3. Step 3: Cross multiply
    274.92x = 378.81 × 209.31
  4. Step 4: Simplify right side
    274.92x = 79,288.72
  5. Step 5: Solve for x
    x = 79,288.72/274.92
  6. Step 6: Final answer
    x = 288.41

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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.