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Finding the Fourth Proportional to 300.98, 451.41 and 179.28

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Solution

The fourth proportional to 300.98, 451.41 and 179.28 is: 268.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.98 : 451.41 = 179.28 : x
  2. Step 2: Convert to fraction form
    300.98/451.41 = 179.28/x
  3. Step 3: Cross multiply
    300.98x = 451.41 × 179.28
  4. Step 4: Simplify right side
    300.98x = 80,928.11
  5. Step 5: Solve for x
    x = 80,928.11/300.98
  6. Step 6: Final answer
    x = 268.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.