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Finding the Fourth Proportional to 421.89, 580.41 and 323.48

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Solution

The fourth proportional to 421.89, 580.41 and 323.48 is: 445.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.89 : 580.41 = 323.48 : x
  2. Step 2: Convert to fraction form
    421.89/580.41 = 323.48/x
  3. Step 3: Cross multiply
    421.89x = 580.41 × 323.48
  4. Step 4: Simplify right side
    421.89x = 187,751.03
  5. Step 5: Solve for x
    x = 187,751.03/421.89
  6. Step 6: Final answer
    x = 445.02

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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.