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Finding the Fourth Proportional to 299.04, 447.44 and 213.36

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Solution

The fourth proportional to 299.04, 447.44 and 213.36 is: 319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.04 : 447.44 = 213.36 : x
  2. Step 2: Convert to fraction form
    299.04/447.44 = 213.36/x
  3. Step 3: Cross multiply
    299.04x = 447.44 × 213.36
  4. Step 4: Simplify right side
    299.04x = 95,465.80
  5. Step 5: Solve for x
    x = 95,465.80/299.04
  6. Step 6: Final answer
    x = 319.24

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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.