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Finding the Fourth Proportional to 195.69, 268.95 and 190.22

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Solution

The fourth proportional to 195.69, 268.95 and 190.22 is: 261.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.69 : 268.95 = 190.22 : x
  2. Step 2: Convert to fraction form
    195.69/268.95 = 190.22/x
  3. Step 3: Cross multiply
    195.69x = 268.95 × 190.22
  4. Step 4: Simplify right side
    195.69x = 51,159.19
  5. Step 5: Solve for x
    x = 51,159.19/195.69
  6. Step 6: Final answer
    x = 261.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.