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Finding the Fourth Proportional to 122.89, 182.94 and 121.52

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Solution

The fourth proportional to 122.89, 182.94 and 121.52 is: 180.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.89 : 182.94 = 121.52 : x
  2. Step 2: Convert to fraction form
    122.89/182.94 = 121.52/x
  3. Step 3: Cross multiply
    122.89x = 182.94 × 121.52
  4. Step 4: Simplify right side
    122.89x = 22,230.87
  5. Step 5: Solve for x
    x = 22,230.87/122.89
  6. Step 6: Final answer
    x = 180.90

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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.