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Finding the Fourth Proportional to 130.86, 194.85 and 129.42

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Solution

The fourth proportional to 130.86, 194.85 and 129.42 is: 192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.86 : 194.85 = 129.42 : x
  2. Step 2: Convert to fraction form
    130.86/194.85 = 129.42/x
  3. Step 3: Cross multiply
    130.86x = 194.85 × 129.42
  4. Step 4: Simplify right side
    130.86x = 25,217.49
  5. Step 5: Solve for x
    x = 25,217.49/130.86
  6. Step 6: Final answer
    x = 192.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.