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Finding the Fourth Proportional to 271.08, 375.96 and 267.84

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Solution

The fourth proportional to 271.08, 375.96 and 267.84 is: 371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.08 : 375.96 = 267.84 : x
  2. Step 2: Convert to fraction form
    271.08/375.96 = 267.84/x
  3. Step 3: Cross multiply
    271.08x = 375.96 × 267.84
  4. Step 4: Simplify right side
    271.08x = 100,697.13
  5. Step 5: Solve for x
    x = 100,697.13/271.08
  6. Step 6: Final answer
    x = 371.47

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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.