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Finding the Fourth Proportional to 194.00, 267.81 and 120.49

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Solution

The fourth proportional to 194.00, 267.81 and 120.49 is: 166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.00 : 267.81 = 120.49 : x
  2. Step 2: Convert to fraction form
    194.00/267.81 = 120.49/x
  3. Step 3: Cross multiply
    194.00x = 267.81 × 120.49
  4. Step 4: Simplify right side
    194.00x = 32,267.31
  5. Step 5: Solve for x
    x = 32,267.31/194.00
  6. Step 6: Final answer
    x = 166.33

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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.