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Finding the Fourth Proportional to 149.55, 205.09 and 143.31

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Solution

The fourth proportional to 149.55, 205.09 and 143.31 is: 196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.55 : 205.09 = 143.31 : x
  2. Step 2: Convert to fraction form
    149.55/205.09 = 143.31/x
  3. Step 3: Cross multiply
    149.55x = 205.09 × 143.31
  4. Step 4: Simplify right side
    149.55x = 29,391.87
  5. Step 5: Solve for x
    x = 29,391.87/149.55
  6. Step 6: Final answer
    x = 196.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.