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Finding the Fourth Proportional to 140, 194.24 and 138.88

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Solution

The fourth proportional to 140, 194.24 and 138.88 is: 192.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    140 : 194.24 = 138.88 : x
  2. Step 2: Convert to fraction form
    140/194.24 = 138.88/x
  3. Step 3: Cross multiply
    140x = 194.24 × 138.88
  4. Step 4: Simplify right side
    140x = 26,976.05
  5. Step 5: Solve for x
    x = 26,976.05/140
  6. Step 6: Final answer
    x = 192.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.