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Finding the Fourth Proportional to 195.76, 268.98 and 183.12

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Solution

The fourth proportional to 195.76, 268.98 and 183.12 is: 251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.76 : 268.98 = 183.12 : x
  2. Step 2: Convert to fraction form
    195.76/268.98 = 183.12/x
  3. Step 3: Cross multiply
    195.76x = 268.98 × 183.12
  4. Step 4: Simplify right side
    195.76x = 49,255.62
  5. Step 5: Solve for x
    x = 49,255.62/195.76
  6. Step 6: Final answer
    x = 251.61

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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.