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Finding the Fourth Proportional to 404.24, 609.46 and 324.05

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Solution

The fourth proportional to 404.24, 609.46 and 324.05 is: 488.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.24 : 609.46 = 324.05 : x
  2. Step 2: Convert to fraction form
    404.24/609.46 = 324.05/x
  3. Step 3: Cross multiply
    404.24x = 609.46 × 324.05
  4. Step 4: Simplify right side
    404.24x = 197,491.66
  5. Step 5: Solve for x
    x = 197,491.66/404.24
  6. Step 6: Final answer
    x = 488.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.