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Finding the Fourth Proportional to 274.25, 378.29 and 229.26

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Solution

The fourth proportional to 274.25, 378.29 and 229.26 is: 316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.25 : 378.29 = 229.26 : x
  2. Step 2: Convert to fraction form
    274.25/378.29 = 229.26/x
  3. Step 3: Cross multiply
    274.25x = 378.29 × 229.26
  4. Step 4: Simplify right side
    274.25x = 86,725.62
  5. Step 5: Solve for x
    x = 86,725.62/274.25
  6. Step 6: Final answer
    x = 316.23

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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.