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Finding the Fourth Proportional to 274.75, 378.93 and 233.41

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Solution

The fourth proportional to 274.75, 378.93 and 233.41 is: 321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.75 : 378.93 = 233.41 : x
  2. Step 2: Convert to fraction form
    274.75/378.93 = 233.41/x
  3. Step 3: Cross multiply
    274.75x = 378.93 × 233.41
  4. Step 4: Simplify right side
    274.75x = 88,446.05
  5. Step 5: Solve for x
    x = 88,446.05/274.75
  6. Step 6: Final answer
    x = 321.91

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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.