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Finding the Fourth Proportional to 120.31, 166 and 83.55

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Solution

The fourth proportional to 120.31, 166 and 83.55 is: 115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.31 : 166 = 83.55 : x
  2. Step 2: Convert to fraction form
    120.31/166 = 83.55/x
  3. Step 3: Cross multiply
    120.31x = 166 × 83.55
  4. Step 4: Simplify right side
    120.31x = 13,869.30
  5. Step 5: Solve for x
    x = 13,869.30/120.31
  6. Step 6: Final answer
    x = 115.28

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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.