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Finding the Fourth Proportional to 300.88, 449.20 and 254.74

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Solution

The fourth proportional to 300.88, 449.20 and 254.74 is: 380.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.88 : 449.20 = 254.74 : x
  2. Step 2: Convert to fraction form
    300.88/449.20 = 254.74/x
  3. Step 3: Cross multiply
    300.88x = 449.20 × 254.74
  4. Step 4: Simplify right side
    300.88x = 114,429.21
  5. Step 5: Solve for x
    x = 114,429.21/300.88
  6. Step 6: Final answer
    x = 380.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.