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Finding the Fourth Proportional to 421.56, 582.05 and 323.96

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Solution

The fourth proportional to 421.56, 582.05 and 323.96 is: 447.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.56 : 582.05 = 323.96 : x
  2. Step 2: Convert to fraction form
    421.56/582.05 = 323.96/x
  3. Step 3: Cross multiply
    421.56x = 582.05 × 323.96
  4. Step 4: Simplify right side
    421.56x = 188,558.82
  5. Step 5: Solve for x
    x = 188,558.82/421.56
  6. Step 6: Final answer
    x = 447.29

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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.