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Finding the Fourth Proportional to 149.04, 205.94 and 142.97

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Solution

The fourth proportional to 149.04, 205.94 and 142.97 is: 197.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.04 : 205.94 = 142.97 : x
  2. Step 2: Convert to fraction form
    149.04/205.94 = 142.97/x
  3. Step 3: Cross multiply
    149.04x = 205.94 × 142.97
  4. Step 4: Simplify right side
    149.04x = 29,442.57
  5. Step 5: Solve for x
    x = 29,442.57/149.04
  6. Step 6: Final answer
    x = 197.55

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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.