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Finding the Fourth Proportional to 299.54, 407.99 and 298.73

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Solution

The fourth proportional to 299.54, 407.99 and 298.73 is: 406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.54 : 407.99 = 298.73 : x
  2. Step 2: Convert to fraction form
    299.54/407.99 = 298.73/x
  3. Step 3: Cross multiply
    299.54x = 407.99 × 298.73
  4. Step 4: Simplify right side
    299.54x = 121,878.85
  5. Step 5: Solve for x
    x = 121,878.85/299.54
  6. Step 6: Final answer
    x = 406.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.