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Finding the Fourth Proportional to 130.92, 195.21 and 111.48

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Solution

The fourth proportional to 130.92, 195.21 and 111.48 is: 166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.92 : 195.21 = 111.48 : x
  2. Step 2: Convert to fraction form
    130.92/195.21 = 111.48/x
  3. Step 3: Cross multiply
    130.92x = 195.21 × 111.48
  4. Step 4: Simplify right side
    130.92x = 21,761.28
  5. Step 5: Solve for x
    x = 21,761.28/130.92
  6. Step 6: Final answer
    x = 166.22

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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.