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Finding the Fourth Proportional to 140.87, 211.07 and 100.09

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Solution

The fourth proportional to 140.87, 211.07 and 100.09 is: 149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.87 : 211.07 = 100.09 : x
  2. Step 2: Convert to fraction form
    140.87/211.07 = 100.09/x
  3. Step 3: Cross multiply
    140.87x = 211.07 × 100.09
  4. Step 4: Simplify right side
    140.87x = 21,124.44
  5. Step 5: Solve for x
    x = 21,124.44/140.87
  6. Step 6: Final answer
    x = 149.96

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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.