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Finding the Fourth Proportional to 120.83, 167.90 and 119.58

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Solution

The fourth proportional to 120.83, 167.90 and 119.58 is: 166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.83 : 167.90 = 119.58 : x
  2. Step 2: Convert to fraction form
    120.83/167.90 = 119.58/x
  3. Step 3: Cross multiply
    120.83x = 167.90 × 119.58
  4. Step 4: Simplify right side
    120.83x = 20,077.48
  5. Step 5: Solve for x
    x = 20,077.48/120.83
  6. Step 6: Final answer
    x = 166.16

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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.