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Finding the Fourth Proportional to 148.36, 221.23 and 138.43

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Solution

The fourth proportional to 148.36, 221.23 and 138.43 is: 206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.36 : 221.23 = 138.43 : x
  2. Step 2: Convert to fraction form
    148.36/221.23 = 138.43/x
  3. Step 3: Cross multiply
    148.36x = 221.23 × 138.43
  4. Step 4: Simplify right side
    148.36x = 30,624.87
  5. Step 5: Solve for x
    x = 30,624.87/148.36
  6. Step 6: Final answer
    x = 206.42

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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.