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Finding the Fourth Proportional to 149.85, 225.05 and 130.95

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Solution

The fourth proportional to 149.85, 225.05 and 130.95 is: 196.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.85 : 225.05 = 130.95 : x
  2. Step 2: Convert to fraction form
    149.85/225.05 = 130.95/x
  3. Step 3: Cross multiply
    149.85x = 225.05 × 130.95
  4. Step 4: Simplify right side
    149.85x = 29,469.64
  5. Step 5: Solve for x
    x = 29,469.64/149.85
  6. Step 6: Final answer
    x = 196.66

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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.