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Finding the Fourth Proportional to 141.20, 211.38 and 109.16

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Solution

The fourth proportional to 141.20, 211.38 and 109.16 is: 163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.20 : 211.38 = 109.16 : x
  2. Step 2: Convert to fraction form
    141.20/211.38 = 109.16/x
  3. Step 3: Cross multiply
    141.20x = 211.38 × 109.16
  4. Step 4: Simplify right side
    141.20x = 23,074.24
  5. Step 5: Solve for x
    x = 23,074.24/141.20
  6. Step 6: Final answer
    x = 163.42

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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.