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Finding the Fourth Proportional to 193.85, 267.63 and 120.27

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Solution

The fourth proportional to 193.85, 267.63 and 120.27 is: 166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.85 : 267.63 = 120.27 : x
  2. Step 2: Convert to fraction form
    193.85/267.63 = 120.27/x
  3. Step 3: Cross multiply
    193.85x = 267.63 × 120.27
  4. Step 4: Simplify right side
    193.85x = 32,187.86
  5. Step 5: Solve for x
    x = 32,187.86/193.85
  6. Step 6: Final answer
    x = 166.05

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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.