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Finding the Fourth Proportional to 131.46, 196.36 and 109.65

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Solution

The fourth proportional to 131.46, 196.36 and 109.65 is: 163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.46 : 196.36 = 109.65 : x
  2. Step 2: Convert to fraction form
    131.46/196.36 = 109.65/x
  3. Step 3: Cross multiply
    131.46x = 196.36 × 109.65
  4. Step 4: Simplify right side
    131.46x = 21,530.60
  5. Step 5: Solve for x
    x = 21,530.60/131.46
  6. Step 6: Final answer
    x = 163.78

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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.