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Finding the Fourth Proportional to 274.17, 375.89 and 269.31

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Solution

The fourth proportional to 274.17, 375.89 and 269.31 is: 369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.17 : 375.89 = 269.31 : x
  2. Step 2: Convert to fraction form
    274.17/375.89 = 269.31/x
  3. Step 3: Cross multiply
    274.17x = 375.89 × 269.31
  4. Step 4: Simplify right side
    274.17x = 101,229.59
  5. Step 5: Solve for x
    x = 101,229.59/274.17
  6. Step 6: Final answer
    x = 369.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.