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Finding the Fourth Proportional to 129.01, 194.47 and 122.38

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Solution

The fourth proportional to 129.01, 194.47 and 122.38 is: 184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.01 : 194.47 = 122.38 : x
  2. Step 2: Convert to fraction form
    129.01/194.47 = 122.38/x
  3. Step 3: Cross multiply
    129.01x = 194.47 × 122.38
  4. Step 4: Simplify right side
    129.01x = 23,799.24
  5. Step 5: Solve for x
    x = 23,799.24/129.01
  6. Step 6: Final answer
    x = 184.48

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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.