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Finding the Fourth Proportional to 141.96, 194.75 and 135.07

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Solution

The fourth proportional to 141.96, 194.75 and 135.07 is: 185.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.96 : 194.75 = 135.07 : x
  2. Step 2: Convert to fraction form
    141.96/194.75 = 135.07/x
  3. Step 3: Cross multiply
    141.96x = 194.75 × 135.07
  4. Step 4: Simplify right side
    141.96x = 26,304.88
  5. Step 5: Solve for x
    x = 26,304.88/141.96
  6. Step 6: Final answer
    x = 185.30

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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.