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Finding the Fourth Proportional to 299.98, 447.90 and 254.35

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Solution

The fourth proportional to 299.98, 447.90 and 254.35 is: 379.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.98 : 447.90 = 254.35 : x
  2. Step 2: Convert to fraction form
    299.98/447.90 = 254.35/x
  3. Step 3: Cross multiply
    299.98x = 447.90 × 254.35
  4. Step 4: Simplify right side
    299.98x = 113,922.25
  5. Step 5: Solve for x
    x = 113,922.25/299.98
  6. Step 6: Final answer
    x = 379.77

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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.