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Finding the Fourth Proportional to 194.76, 268.82 and 125.76

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Solution

The fourth proportional to 194.76, 268.82 and 125.76 is: 173.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.76 : 268.82 = 125.76 : x
  2. Step 2: Convert to fraction form
    194.76/268.82 = 125.76/x
  3. Step 3: Cross multiply
    194.76x = 268.82 × 125.76
  4. Step 4: Simplify right side
    194.76x = 33,806.80
  5. Step 5: Solve for x
    x = 33,806.80/194.76
  6. Step 6: Final answer
    x = 173.58

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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.