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Finding the Fourth Proportional to 271.44, 377.16 and 267.96

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Solution

The fourth proportional to 271.44, 377.16 and 267.96 is: 372.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.44 : 377.16 = 267.96 : x
  2. Step 2: Convert to fraction form
    271.44/377.16 = 267.96/x
  3. Step 3: Cross multiply
    271.44x = 377.16 × 267.96
  4. Step 4: Simplify right side
    271.44x = 101,063.79
  5. Step 5: Solve for x
    x = 101,063.79/271.44
  6. Step 6: Final answer
    x = 372.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.