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Finding the Fourth Proportional to 274.10, 375.74 and 269.34

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Solution

The fourth proportional to 274.10, 375.74 and 269.34 is: 369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.10 : 375.74 = 269.34 : x
  2. Step 2: Convert to fraction form
    274.10/375.74 = 269.34/x
  3. Step 3: Cross multiply
    274.10x = 375.74 × 269.34
  4. Step 4: Simplify right side
    274.10x = 101,200.46
  5. Step 5: Solve for x
    x = 101,200.46/274.10
  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.