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Finding the Fourth Proportional to 195.44, 269.28 and 140.00

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Solution

The fourth proportional to 195.44, 269.28 and 140.00 is: 192.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.44 : 269.28 = 140.00 : x
  2. Step 2: Convert to fraction form
    195.44/269.28 = 140.00/x
  3. Step 3: Cross multiply
    195.44x = 269.28 × 140.00
  4. Step 4: Simplify right side
    195.44x = 37,697.85
  5. Step 5: Solve for x
    x = 37,697.85/195.44
  6. Step 6: Final answer
    x = 192.89

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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.