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Finding the Fourth Proportional to 121.16, 180.39 and 119.46

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Solution

The fourth proportional to 121.16, 180.39 and 119.46 is: 177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.16 : 180.39 = 119.46 : x
  2. Step 2: Convert to fraction form
    121.16/180.39 = 119.46/x
  3. Step 3: Cross multiply
    121.16x = 180.39 × 119.46
  4. Step 4: Simplify right side
    121.16x = 21,549.39
  5. Step 5: Solve for x
    x = 21,549.39/121.16
  6. Step 6: Final answer
    x = 177.87

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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.