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Finding the Fourth Proportional to 148.62, 222.87 and 103.26

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Solution

The fourth proportional to 148.62, 222.87 and 103.26 is: 154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.62 : 222.87 = 103.26 : x
  2. Step 2: Convert to fraction form
    148.62/222.87 = 103.26/x
  3. Step 3: Cross multiply
    148.62x = 222.87 × 103.26
  4. Step 4: Simplify right side
    148.62x = 23,013.56
  5. Step 5: Solve for x
    x = 23,013.56/148.62
  6. Step 6: Final answer
    x = 154.85

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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.