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Finding the Fourth Proportional to 86.20, 119.57 and 83.37

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Solution

The fourth proportional to 86.20, 119.57 and 83.37 is: 115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.20 : 119.57 = 83.37 : x
  2. Step 2: Convert to fraction form
    86.20/119.57 = 83.37/x
  3. Step 3: Cross multiply
    86.20x = 119.57 × 83.37
  4. Step 4: Simplify right side
    86.20x = 9,968.55
  5. Step 5: Solve for x
    x = 9,968.55/86.20
  6. Step 6: Final answer
    x = 115.64

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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.