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Finding the Fourth Proportional to 186.97, 258.02 and 121.60

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Solution

The fourth proportional to 186.97, 258.02 and 121.60 is: 167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.97 : 258.02 = 121.60 : x
  2. Step 2: Convert to fraction form
    186.97/258.02 = 121.60/x
  3. Step 3: Cross multiply
    186.97x = 258.02 × 121.60
  4. Step 4: Simplify right side
    186.97x = 31,375.23
  5. Step 5: Solve for x
    x = 31,375.23/186.97
  6. Step 6: Final answer
    x = 167.81

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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.