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Finding the Fourth Proportional to 141.26, 211.59 and 120.78

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Solution

The fourth proportional to 141.26, 211.59 and 120.78 is: 180.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.26 : 211.59 = 120.78 : x
  2. Step 2: Convert to fraction form
    141.26/211.59 = 120.78/x
  3. Step 3: Cross multiply
    141.26x = 211.59 × 120.78
  4. Step 4: Simplify right side
    141.26x = 25,555.84
  5. Step 5: Solve for x
    x = 25,555.84/141.26
  6. Step 6: Final answer
    x = 180.92

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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.