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Finding the Fourth Proportional to 141.97, 195.09 and 135.54

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Solution

The fourth proportional to 141.97, 195.09 and 135.54 is: 186.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.97 : 195.09 = 135.54 : x
  2. Step 2: Convert to fraction form
    141.97/195.09 = 135.54/x
  3. Step 3: Cross multiply
    141.97x = 195.09 × 135.54
  4. Step 4: Simplify right side
    141.97x = 26,442.50
  5. Step 5: Solve for x
    x = 26,442.50/141.97
  6. Step 6: Final answer
    x = 186.25

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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.