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Finding the Fourth Proportional to 300.76, 415.01 and 182.68

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Solution

The fourth proportional to 300.76, 415.01 and 182.68 is: 252.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.76 : 415.01 = 182.68 : x
  2. Step 2: Convert to fraction form
    300.76/415.01 = 182.68/x
  3. Step 3: Cross multiply
    300.76x = 415.01 × 182.68
  4. Step 4: Simplify right side
    300.76x = 75,811.98
  5. Step 5: Solve for x
    x = 75,811.98/300.76
  6. Step 6: Final answer
    x = 252.07

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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.