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Finding the Fourth Proportional to 130.82, 194.87 and 129.23

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Solution

The fourth proportional to 130.82, 194.87 and 129.23 is: 192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.82 : 194.87 = 129.23 : x
  2. Step 2: Convert to fraction form
    130.82/194.87 = 129.23/x
  3. Step 3: Cross multiply
    130.82x = 194.87 × 129.23
  4. Step 4: Simplify right side
    130.82x = 25,181.43
  5. Step 5: Solve for x
    x = 25,181.43/130.82
  6. Step 6: Final answer
    x = 192.49

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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.