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Finding the Fourth Proportional to 299.36, 446.46 and 270.20

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Solution

The fourth proportional to 299.36, 446.46 and 270.20 is: 402.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.36 : 446.46 = 270.20 : x
  2. Step 2: Convert to fraction form
    299.36/446.46 = 270.20/x
  3. Step 3: Cross multiply
    299.36x = 446.46 × 270.20
  4. Step 4: Simplify right side
    299.36x = 120,635.11
  5. Step 5: Solve for x
    x = 120,635.11/299.36
  6. Step 6: Final answer
    x = 402.97

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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.