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Finding the Fourth Proportional to 120.46, 165.93 and 108.19

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Solution

The fourth proportional to 120.46, 165.93 and 108.19 is: 149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.46 : 165.93 = 108.19 : x
  2. Step 2: Convert to fraction form
    120.46/165.93 = 108.19/x
  3. Step 3: Cross multiply
    120.46x = 165.93 × 108.19
  4. Step 4: Simplify right side
    120.46x = 17,951.97
  5. Step 5: Solve for x
    x = 17,951.97/120.46
  6. Step 6: Final answer
    x = 149.03

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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.