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Finding the Fourth Proportional to 199.39, 275.03 and 120.65

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Solution

The fourth proportional to 199.39, 275.03 and 120.65 is: 166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.39 : 275.03 = 120.65 : x
  2. Step 2: Convert to fraction form
    199.39/275.03 = 120.65/x
  3. Step 3: Cross multiply
    199.39x = 275.03 × 120.65
  4. Step 4: Simplify right side
    199.39x = 33,182.37
  5. Step 5: Solve for x
    x = 33,182.37/199.39
  6. Step 6: Final answer
    x = 166.42

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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.