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Finding the Fourth Proportional to 122.72, 183.05 and 120.92

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Solution

The fourth proportional to 122.72, 183.05 and 120.92 is: 180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.72 : 183.05 = 120.92 : x
  2. Step 2: Convert to fraction form
    122.72/183.05 = 120.92/x
  3. Step 3: Cross multiply
    122.72x = 183.05 × 120.92
  4. Step 4: Simplify right side
    122.72x = 22,134.41
  5. Step 5: Solve for x
    x = 22,134.41/122.72
  6. Step 6: Final answer
    x = 180.37

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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.