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Finding the Fourth Proportional to 299.76, 452.26 and 298.96

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Solution

The fourth proportional to 299.76, 452.26 and 298.96 is: 451.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.76 : 452.26 = 298.96 : x
  2. Step 2: Convert to fraction form
    299.76/452.26 = 298.96/x
  3. Step 3: Cross multiply
    299.76x = 452.26 × 298.96
  4. Step 4: Simplify right side
    299.76x = 135,207.65
  5. Step 5: Solve for x
    x = 135,207.65/299.76
  6. Step 6: Final answer
    x = 451.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.