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Finding the Fourth Proportional to 195.74, 268.41 and 188.87

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Solution

The fourth proportional to 195.74, 268.41 and 188.87 is: 258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.74 : 268.41 = 188.87 : x
  2. Step 2: Convert to fraction form
    195.74/268.41 = 188.87/x
  3. Step 3: Cross multiply
    195.74x = 268.41 × 188.87
  4. Step 4: Simplify right side
    195.74x = 50,693.65
  5. Step 5: Solve for x
    x = 50,693.65/195.74
  6. Step 6: Final answer
    x = 258.98

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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.