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Finding the Fourth Proportional to 141.11, 211.08 and 106.61

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Solution

The fourth proportional to 141.11, 211.08 and 106.61 is: 159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.11 : 211.08 = 106.61 : x
  2. Step 2: Convert to fraction form
    141.11/211.08 = 106.61/x
  3. Step 3: Cross multiply
    141.11x = 211.08 × 106.61
  4. Step 4: Simplify right side
    141.11x = 22,503.24
  5. Step 5: Solve for x
    x = 22,503.24/141.11
  6. Step 6: Final answer
    x = 159.48

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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.