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Finding the Fourth Proportional to 148.14, 221.85 and 113.65

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Solution

The fourth proportional to 148.14, 221.85 and 113.65 is: 170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.14 : 221.85 = 113.65 : x
  2. Step 2: Convert to fraction form
    148.14/221.85 = 113.65/x
  3. Step 3: Cross multiply
    148.14x = 221.85 × 113.65
  4. Step 4: Simplify right side
    148.14x = 25,212.70
  5. Step 5: Solve for x
    x = 25,212.70/148.14
  6. Step 6: Final answer
    x = 170.20

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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.