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Finding the Fourth Proportional to 129.26, 194.16 and 93.08

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Solution

The fourth proportional to 129.26, 194.16 and 93.08 is: 139.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.26 : 194.16 = 93.08 : x
  2. Step 2: Convert to fraction form
    129.26/194.16 = 93.08/x
  3. Step 3: Cross multiply
    129.26x = 194.16 × 93.08
  4. Step 4: Simplify right side
    129.26x = 18,072.41
  5. Step 5: Solve for x
    x = 18,072.41/129.26
  6. Step 6: Final answer
    x = 139.81

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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.