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Finding the Fourth Proportional to 276.86, 383.97 and 267.14

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Solution

The fourth proportional to 276.86, 383.97 and 267.14 is: 370.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.86 : 383.97 = 267.14 : x
  2. Step 2: Convert to fraction form
    276.86/383.97 = 267.14/x
  3. Step 3: Cross multiply
    276.86x = 383.97 × 267.14
  4. Step 4: Simplify right side
    276.86x = 102,573.75
  5. Step 5: Solve for x
    x = 102,573.75/276.86
  6. Step 6: Final answer
    x = 370.49

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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.