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Finding the Fourth Proportional to 412.09, 569.42 and 323.80

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Solution

The fourth proportional to 412.09, 569.42 and 323.80 is: 447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.09 : 569.42 = 323.80 : x
  2. Step 2: Convert to fraction form
    412.09/569.42 = 323.80/x
  3. Step 3: Cross multiply
    412.09x = 569.42 × 323.80
  4. Step 4: Simplify right side
    412.09x = 184,378.20
  5. Step 5: Solve for x
    x = 184,378.20/412.09
  6. Step 6: Final answer
    x = 447.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.