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Finding the Fourth Proportional to 446.36, 669.78 and 299.75

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Solution

The fourth proportional to 446.36, 669.78 and 299.75 is: 449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.36 : 669.78 = 299.75 : x
  2. Step 2: Convert to fraction form
    446.36/669.78 = 299.75/x
  3. Step 3: Cross multiply
    446.36x = 669.78 × 299.75
  4. Step 4: Simplify right side
    446.36x = 200,765.06
  5. Step 5: Solve for x
    x = 200,765.06/446.36
  6. Step 6: Final answer
    x = 449.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.