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Finding the Fourth Proportional to 122.21, 183.31 and 41.05

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Solution

The fourth proportional to 122.21, 183.31 and 41.05 is: 61.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.21 : 183.31 = 41.05 : x
  2. Step 2: Convert to fraction form
    122.21/183.31 = 41.05/x
  3. Step 3: Cross multiply
    122.21x = 183.31 × 41.05
  4. Step 4: Simplify right side
    122.21x = 7,524.47
  5. Step 5: Solve for x
    x = 7,524.47/122.21
  6. Step 6: Final answer
    x = 61.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.