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Finding the Fourth Proportional to 111.92, 154.37 and 82.80

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Solution

The fourth proportional to 111.92, 154.37 and 82.80 is: 114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.92 : 154.37 = 82.80 : x
  2. Step 2: Convert to fraction form
    111.92/154.37 = 82.80/x
  3. Step 3: Cross multiply
    111.92x = 154.37 × 82.80
  4. Step 4: Simplify right side
    111.92x = 12,782.04
  5. Step 5: Solve for x
    x = 12,782.04/111.92
  6. Step 6: Final answer
    x = 114.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.