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Finding the Fourth Proportional to 141.25, 211.75 and 118.57

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Solution

The fourth proportional to 141.25, 211.75 and 118.57 is: 177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.25 : 211.75 = 118.57 : x
  2. Step 2: Convert to fraction form
    141.25/211.75 = 118.57/x
  3. Step 3: Cross multiply
    141.25x = 211.75 × 118.57
  4. Step 4: Simplify right side
    141.25x = 25,107.20
  5. Step 5: Solve for x
    x = 25,107.20/141.25
  6. Step 6: Final answer
    x = 177.75

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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.