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Finding the Fourth Proportional to 195.81, 269.64 and 191.55

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Solution

The fourth proportional to 195.81, 269.64 and 191.55 is: 263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.81 : 269.64 = 191.55 : x
  2. Step 2: Convert to fraction form
    195.81/269.64 = 191.55/x
  3. Step 3: Cross multiply
    195.81x = 269.64 × 191.55
  4. Step 4: Simplify right side
    195.81x = 51,649.54
  5. Step 5: Solve for x
    x = 51,649.54/195.81
  6. Step 6: Final answer
    x = 263.77

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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.