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Finding the Fourth Proportional to 195.28, 269.28 and 158.44

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Solution

The fourth proportional to 195.28, 269.28 and 158.44 is: 218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.28 : 269.28 = 158.44 : x
  2. Step 2: Convert to fraction form
    195.28/269.28 = 158.44/x
  3. Step 3: Cross multiply
    195.28x = 269.28 × 158.44
  4. Step 4: Simplify right side
    195.28x = 42,664.72
  5. Step 5: Solve for x
    x = 42,664.72/195.28
  6. Step 6: Final answer
    x = 218.48

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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.