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Finding the Fourth Proportional to 121.32, 180.72 and 120.24

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Solution

The fourth proportional to 121.32, 180.72 and 120.24 is: 179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.32 : 180.72 = 120.24 : x
  2. Step 2: Convert to fraction form
    121.32/180.72 = 120.24/x
  3. Step 3: Cross multiply
    121.32x = 180.72 × 120.24
  4. Step 4: Simplify right side
    121.32x = 21,729.77
  5. Step 5: Solve for x
    x = 21,729.77/121.32
  6. Step 6: Final answer
    x = 179.11

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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.