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Finding the Fourth Proportional to 274.53, 378.55 and 239.25

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Solution

The fourth proportional to 274.53, 378.55 and 239.25 is: 329.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.53 : 378.55 = 239.25 : x
  2. Step 2: Convert to fraction form
    274.53/378.55 = 239.25/x
  3. Step 3: Cross multiply
    274.53x = 378.55 × 239.25
  4. Step 4: Simplify right side
    274.53x = 90,568.09
  5. Step 5: Solve for x
    x = 90,568.09/274.53
  6. Step 6: Final answer
    x = 329.90

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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.