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Finding the Fourth Proportional to 195.29, 267.79 and 188.74

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Solution

The fourth proportional to 195.29, 267.79 and 188.74 is: 258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.29 : 267.79 = 188.74 : x
  2. Step 2: Convert to fraction form
    195.29/267.79 = 188.74/x
  3. Step 3: Cross multiply
    195.29x = 267.79 × 188.74
  4. Step 4: Simplify right side
    195.29x = 50,544.07
  5. Step 5: Solve for x
    x = 50,544.07/195.29
  6. Step 6: Final answer
    x = 258.81

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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.