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Finding the Fourth Proportional to 267.63, 369.50 and 193.83

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Solution

The fourth proportional to 267.63, 369.50 and 193.83 is: 267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.63 : 369.50 = 193.83 : x
  2. Step 2: Convert to fraction form
    267.63/369.50 = 193.83/x
  3. Step 3: Cross multiply
    267.63x = 369.50 × 193.83
  4. Step 4: Simplify right side
    267.63x = 71,619.22
  5. Step 5: Solve for x
    x = 71,619.22/267.63
  6. Step 6: Final answer
    x = 267.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.