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Finding the Fourth Proportional to 299.20, 446.08 and 281.92

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Solution

The fourth proportional to 299.20, 446.08 and 281.92 is: 420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.20 : 446.08 = 281.92 : x
  2. Step 2: Convert to fraction form
    299.20/446.08 = 281.92/x
  3. Step 3: Cross multiply
    299.20x = 446.08 × 281.92
  4. Step 4: Simplify right side
    299.20x = 125,758.87
  5. Step 5: Solve for x
    x = 125,758.87/299.20
  6. Step 6: Final answer
    x = 420.32

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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.