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Finding the Fourth Proportional to 122.04, 180.99 and 121.59

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Solution

The fourth proportional to 122.04, 180.99 and 121.59 is: 180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.04 : 180.99 = 121.59 : x
  2. Step 2: Convert to fraction form
    122.04/180.99 = 121.59/x
  3. Step 3: Cross multiply
    122.04x = 180.99 × 121.59
  4. Step 4: Simplify right side
    122.04x = 22,006.57
  5. Step 5: Solve for x
    x = 22,006.57/122.04
  6. Step 6: Final answer
    x = 180.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.