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Finding the Fourth Proportional to 148.85, 222.41 and 107.51

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Solution

The fourth proportional to 148.85, 222.41 and 107.51 is: 160.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.85 : 222.41 = 107.51 : x
  2. Step 2: Convert to fraction form
    148.85/222.41 = 107.51/x
  3. Step 3: Cross multiply
    148.85x = 222.41 × 107.51
  4. Step 4: Simplify right side
    148.85x = 23,912.12
  5. Step 5: Solve for x
    x = 23,912.12/148.85
  6. Step 6: Final answer
    x = 160.65

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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.