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Finding the Fourth Proportional to 130.11, 194.22 and 120.47

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Solution

The fourth proportional to 130.11, 194.22 and 120.47 is: 179.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.11 : 194.22 = 120.47 : x
  2. Step 2: Convert to fraction form
    130.11/194.22 = 120.47/x
  3. Step 3: Cross multiply
    130.11x = 194.22 × 120.47
  4. Step 4: Simplify right side
    130.11x = 23,397.68
  5. Step 5: Solve for x
    x = 23,397.68/130.11
  6. Step 6: Final answer
    x = 179.83

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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.