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Finding the Fourth Proportional to 199.60, 275.48 and 121.96

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Solution

The fourth proportional to 199.60, 275.48 and 121.96 is: 168.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.60 : 275.48 = 121.96 : x
  2. Step 2: Convert to fraction form
    199.60/275.48 = 121.96/x
  3. Step 3: Cross multiply
    199.60x = 275.48 × 121.96
  4. Step 4: Simplify right side
    199.60x = 33,597.54
  5. Step 5: Solve for x
    x = 33,597.54/199.60
  6. Step 6: Final answer
    x = 168.32

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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.