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Finding the Fourth Proportional to 445.43, 667.82 and 299.00

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Solution

The fourth proportional to 445.43, 667.82 and 299.00 is: 448.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.43 : 667.82 = 299.00 : x
  2. Step 2: Convert to fraction form
    445.43/667.82 = 299.00/x
  3. Step 3: Cross multiply
    445.43x = 667.82 × 299.00
  4. Step 4: Simplify right side
    445.43x = 199,673.35
  5. Step 5: Solve for x
    x = 199,673.35/445.43
  6. Step 6: Final answer
    x = 448.28

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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.