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Finding the Fourth Proportional to 121.97, 181.66 and 114.48

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Solution

The fourth proportional to 121.97, 181.66 and 114.48 is: 170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.97 : 181.66 = 114.48 : x
  2. Step 2: Convert to fraction form
    121.97/181.66 = 114.48/x
  3. Step 3: Cross multiply
    121.97x = 181.66 × 114.48
  4. Step 4: Simplify right side
    121.97x = 20,796.44
  5. Step 5: Solve for x
    x = 20,796.44/121.97
  6. Step 6: Final answer
    x = 170.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.