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Finding the Fourth Proportional to 140.15, 209.61 and 105.98

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Solution

The fourth proportional to 140.15, 209.61 and 105.98 is: 158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.15 : 209.61 = 105.98 : x
  2. Step 2: Convert to fraction form
    140.15/209.61 = 105.98/x
  3. Step 3: Cross multiply
    140.15x = 209.61 × 105.98
  4. Step 4: Simplify right side
    140.15x = 22,213.42
  5. Step 5: Solve for x
    x = 22,213.42/140.15
  6. Step 6: Final answer
    x = 158.49

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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.