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Finding the Fourth Proportional to 271.22, 372.92 and 269.46

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Solution

The fourth proportional to 271.22, 372.92 and 269.46 is: 370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.22 : 372.92 = 269.46 : x
  2. Step 2: Convert to fraction form
    271.22/372.92 = 269.46/x
  3. Step 3: Cross multiply
    271.22x = 372.92 × 269.46
  4. Step 4: Simplify right side
    271.22x = 100,485.68
  5. Step 5: Solve for x
    x = 100,485.68/271.22
  6. Step 6: Final answer
    x = 370.50

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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.