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Finding the Fourth Proportional to 129.14, 194.53 and 110.30

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Solution

The fourth proportional to 129.14, 194.53 and 110.30 is: 166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.14 : 194.53 = 110.30 : x
  2. Step 2: Convert to fraction form
    129.14/194.53 = 110.30/x
  3. Step 3: Cross multiply
    129.14x = 194.53 × 110.30
  4. Step 4: Simplify right side
    129.14x = 21,456.66
  5. Step 5: Solve for x
    x = 21,456.66/129.14
  6. Step 6: Final answer
    x = 166.15

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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.