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Finding the Fourth Proportional to 140.65, 194.28 and 108.30

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Solution

The fourth proportional to 140.65, 194.28 and 108.30 is: 149.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.65 : 194.28 = 108.30 : x
  2. Step 2: Convert to fraction form
    140.65/194.28 = 108.30/x
  3. Step 3: Cross multiply
    140.65x = 194.28 × 108.30
  4. Step 4: Simplify right side
    140.65x = 21,040.52
  5. Step 5: Solve for x
    x = 21,040.52/140.65
  6. Step 6: Final answer
    x = 149.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.