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Finding the Fourth Proportional to 148.11, 221.66 and 113.68

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Solution

The fourth proportional to 148.11, 221.66 and 113.68 is: 170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.11 : 221.66 = 113.68 : x
  2. Step 2: Convert to fraction form
    148.11/221.66 = 113.68/x
  3. Step 3: Cross multiply
    148.11x = 221.66 × 113.68
  4. Step 4: Simplify right side
    148.11x = 25,198.31
  5. Step 5: Solve for x
    x = 25,198.31/148.11
  6. Step 6: Final answer
    x = 170.13

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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.