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Finding the Fourth Proportional to 129.88, 194.77 and 43.19

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Solution

The fourth proportional to 129.88, 194.77 and 43.19 is: 64.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.88 : 194.77 = 43.19 : x
  2. Step 2: Convert to fraction form
    129.88/194.77 = 43.19/x
  3. Step 3: Cross multiply
    129.88x = 194.77 × 43.19
  4. Step 4: Simplify right side
    129.88x = 8,410.93
  5. Step 5: Solve for x
    x = 8,410.93/129.88
  6. Step 6: Final answer
    x = 64.76

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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.