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Finding the Fourth Proportional to 271.62, 372.06 and 268.11

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Solution

The fourth proportional to 271.62, 372.06 and 268.11 is: 367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.62 : 372.06 = 268.11 : x
  2. Step 2: Convert to fraction form
    271.62/372.06 = 268.11/x
  3. Step 3: Cross multiply
    271.62x = 372.06 × 268.11
  4. Step 4: Simplify right side
    271.62x = 99,753.01
  5. Step 5: Solve for x
    x = 99,753.01/271.62
  6. Step 6: Final answer
    x = 367.25

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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.