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Finding the Fourth Proportional to 121.02, 180.26 and 120.79

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Solution

The fourth proportional to 121.02, 180.26 and 120.79 is: 179.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.02 : 180.26 = 120.79 : x
  2. Step 2: Convert to fraction form
    121.02/180.26 = 120.79/x
  3. Step 3: Cross multiply
    121.02x = 180.26 × 120.79
  4. Step 4: Simplify right side
    121.02x = 21,772.70
  5. Step 5: Solve for x
    x = 21,772.70/121.02
  6. Step 6: Final answer
    x = 179.92

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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.