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Finding the Fourth Proportional to 148.05, 222.11 and 50.56

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Solution

The fourth proportional to 148.05, 222.11 and 50.56 is: 75.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.05 : 222.11 = 50.56 : x
  2. Step 2: Convert to fraction form
    148.05/222.11 = 50.56/x
  3. Step 3: Cross multiply
    148.05x = 222.11 × 50.56
  4. Step 4: Simplify right side
    148.05x = 11,229.88
  5. Step 5: Solve for x
    x = 11,229.88/148.05
  6. Step 6: Final answer
    x = 75.85

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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.