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Finding the Fourth Proportional to 404.55, 604.24 and 323.15

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Solution

The fourth proportional to 404.55, 604.24 and 323.15 is: 482.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.55 : 604.24 = 323.15 : x
  2. Step 2: Convert to fraction form
    404.55/604.24 = 323.15/x
  3. Step 3: Cross multiply
    404.55x = 604.24 × 323.15
  4. Step 4: Simplify right side
    404.55x = 195,256.33
  5. Step 5: Solve for x
    x = 195,256.33/404.55
  6. Step 6: Final answer
    x = 482.65

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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.