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Finding the Fourth Proportional to 149.90, 206.83 and 120.42

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Solution

The fourth proportional to 149.90, 206.83 and 120.42 is: 166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.90 : 206.83 = 120.42 : x
  2. Step 2: Convert to fraction form
    149.90/206.83 = 120.42/x
  3. Step 3: Cross multiply
    149.90x = 206.83 × 120.42
  4. Step 4: Simplify right side
    149.90x = 24,906.47
  5. Step 5: Solve for x
    x = 24,906.47/149.90
  6. Step 6: Final answer
    x = 166.15

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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.