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Finding the Fourth Proportional to 148.05, 222.12 and 134.49

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Solution

The fourth proportional to 148.05, 222.12 and 134.49 is: 201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.05 : 222.12 = 134.49 : x
  2. Step 2: Convert to fraction form
    148.05/222.12 = 134.49/x
  3. Step 3: Cross multiply
    148.05x = 222.12 × 134.49
  4. Step 4: Simplify right side
    148.05x = 29,872.92
  5. Step 5: Solve for x
    x = 29,872.92/148.05
  6. Step 6: Final answer
    x = 201.78

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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.