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Finding the Fourth Proportional to 195.25, 268.73 and 188.26

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Solution

The fourth proportional to 195.25, 268.73 and 188.26 is: 259.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.25 : 268.73 = 188.26 : x
  2. Step 2: Convert to fraction form
    195.25/268.73 = 188.26/x
  3. Step 3: Cross multiply
    195.25x = 268.73 × 188.26
  4. Step 4: Simplify right side
    195.25x = 50,591.11
  5. Step 5: Solve for x
    x = 50,591.11/195.25
  6. Step 6: Final answer
    x = 259.11

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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.