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Finding the Fourth Proportional to 267.87, 367.21 and 263.61

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Solution

The fourth proportional to 267.87, 367.21 and 263.61 is: 361.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.87 : 367.21 = 263.61 : x
  2. Step 2: Convert to fraction form
    267.87/367.21 = 263.61/x
  3. Step 3: Cross multiply
    267.87x = 367.21 × 263.61
  4. Step 4: Simplify right side
    267.87x = 96,800.23
  5. Step 5: Solve for x
    x = 96,800.23/267.87
  6. Step 6: Final answer
    x = 361.37

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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.