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Finding the Fourth Proportional to 129.63, 195.33 and 107.30

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Solution

The fourth proportional to 129.63, 195.33 and 107.30 is: 161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.63 : 195.33 = 107.30 : x
  2. Step 2: Convert to fraction form
    129.63/195.33 = 107.30/x
  3. Step 3: Cross multiply
    129.63x = 195.33 × 107.30
  4. Step 4: Simplify right side
    129.63x = 20,958.91
  5. Step 5: Solve for x
    x = 20,958.91/129.63
  6. Step 6: Final answer
    x = 161.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.