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Finding the Fourth Proportional to 193.72, 267.45 and 122.83

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Solution

The fourth proportional to 193.72, 267.45 and 122.83 is: 169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.72 : 267.45 = 122.83 : x
  2. Step 2: Convert to fraction form
    193.72/267.45 = 122.83/x
  3. Step 3: Cross multiply
    193.72x = 267.45 × 122.83
  4. Step 4: Simplify right side
    193.72x = 32,850.82
  5. Step 5: Solve for x
    x = 32,850.82/193.72
  6. Step 6: Final answer
    x = 169.58

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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.