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Finding the Fourth Proportional to 86.08, 119.36 and 83.20

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Solution

The fourth proportional to 86.08, 119.36 and 83.20 is: 115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.08 : 119.36 = 83.20 : x
  2. Step 2: Convert to fraction form
    86.08/119.36 = 83.20/x
  3. Step 3: Cross multiply
    86.08x = 119.36 × 83.20
  4. Step 4: Simplify right side
    86.08x = 9,930.75
  5. Step 5: Solve for x
    x = 9,930.75/86.08
  6. Step 6: Final answer
    x = 115.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.