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Finding the Fourth Proportional to 131.04, 196.44 and 109.20

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Solution

The fourth proportional to 131.04, 196.44 and 109.20 is: 163.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.04 : 196.44 = 109.20 : x
  2. Step 2: Convert to fraction form
    131.04/196.44 = 109.20/x
  3. Step 3: Cross multiply
    131.04x = 196.44 × 109.20
  4. Step 4: Simplify right side
    131.04x = 21,451.25
  5. Step 5: Solve for x
    x = 21,451.25/131.04
  6. Step 6: Final answer
    x = 163.70

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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.