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Finding the Fourth Proportional to 299.30, 446.61 and 287.45

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Solution

The fourth proportional to 299.30, 446.61 and 287.45 is: 428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.30 : 446.61 = 287.45 : x
  2. Step 2: Convert to fraction form
    299.30/446.61 = 287.45/x
  3. Step 3: Cross multiply
    299.30x = 446.61 × 287.45
  4. Step 4: Simplify right side
    299.30x = 128,378.56
  5. Step 5: Solve for x
    x = 128,378.56/299.30
  6. Step 6: Final answer
    x = 428.94

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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.