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Finding the Fourth Proportional to 121.41, 180.89 and 118.68

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Solution

The fourth proportional to 121.41, 180.89 and 118.68 is: 176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.41 : 180.89 = 118.68 : x
  2. Step 2: Convert to fraction form
    121.41/180.89 = 118.68/x
  3. Step 3: Cross multiply
    121.41x = 180.89 × 118.68
  4. Step 4: Simplify right side
    121.41x = 21,467.20
  5. Step 5: Solve for x
    x = 21,467.20/121.41
  6. Step 6: Final answer
    x = 176.82

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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.