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Finding the Fourth Proportional to 299.43, 446.99 and 287.28

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Solution

The fourth proportional to 299.43, 446.99 and 287.28 is: 428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.43 : 446.99 = 287.28 : x
  2. Step 2: Convert to fraction form
    299.43/446.99 = 287.28/x
  3. Step 3: Cross multiply
    299.43x = 446.99 × 287.28
  4. Step 4: Simplify right side
    299.43x = 128,409.85
  5. Step 5: Solve for x
    x = 128,409.85/299.43
  6. Step 6: Final answer
    x = 428.85

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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.