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Finding the Fourth Proportional to 195.81, 269.35 and 158.88

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Solution

The fourth proportional to 195.81, 269.35 and 158.88 is: 218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.81 : 269.35 = 158.88 : x
  2. Step 2: Convert to fraction form
    195.81/269.35 = 158.88/x
  3. Step 3: Cross multiply
    195.81x = 269.35 × 158.88
  4. Step 4: Simplify right side
    195.81x = 42,794.33
  5. Step 5: Solve for x
    x = 42,794.33/195.81
  6. Step 6: Final answer
    x = 218.55

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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.