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Finding the Fourth Proportional to 271.29, 371.91 and 269.25

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Solution

The fourth proportional to 271.29, 371.91 and 269.25 is: 369.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.29 : 371.91 = 269.25 : x
  2. Step 2: Convert to fraction form
    271.29/371.91 = 269.25/x
  3. Step 3: Cross multiply
    271.29x = 371.91 × 269.25
  4. Step 4: Simplify right side
    271.29x = 100,136.77
  5. Step 5: Solve for x
    x = 100,136.77/271.29
  6. Step 6: Final answer
    x = 369.11

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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.