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Finding the Fourth Proportional to 199.65, 275.46 and 120.96

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Solution

The fourth proportional to 199.65, 275.46 and 120.96 is: 166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.65 : 275.46 = 120.96 : x
  2. Step 2: Convert to fraction form
    199.65/275.46 = 120.96/x
  3. Step 3: Cross multiply
    199.65x = 275.46 × 120.96
  4. Step 4: Simplify right side
    199.65x = 33,319.64
  5. Step 5: Solve for x
    x = 33,319.64/199.65
  6. Step 6: Final answer
    x = 166.89

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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.