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Finding the Fourth Proportional to 149.18, 205.25 and 120.92

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Solution

The fourth proportional to 149.18, 205.25 and 120.92 is: 166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.18 : 205.25 = 120.92 : x
  2. Step 2: Convert to fraction form
    149.18/205.25 = 120.92/x
  3. Step 3: Cross multiply
    149.18x = 205.25 × 120.92
  4. Step 4: Simplify right side
    149.18x = 24,817.20
  5. Step 5: Solve for x
    x = 24,817.20/149.18
  6. Step 6: Final answer
    x = 166.36

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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.