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Finding the Fourth Proportional to 120.21, 180.17 and 83.66

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Solution

The fourth proportional to 120.21, 180.17 and 83.66 is: 125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.21 : 180.17 = 83.66 : x
  2. Step 2: Convert to fraction form
    120.21/180.17 = 83.66/x
  3. Step 3: Cross multiply
    120.21x = 180.17 × 83.66
  4. Step 4: Simplify right side
    120.21x = 15,073.02
  5. Step 5: Solve for x
    x = 15,073.02/120.21
  6. Step 6: Final answer
    x = 125.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.