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Finding the Fourth Proportional to 421.22, 580.52 and 323.21

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Solution

The fourth proportional to 421.22, 580.52 and 323.21 is: 445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.22 : 580.52 = 323.21 : x
  2. Step 2: Convert to fraction form
    421.22/580.52 = 323.21/x
  3. Step 3: Cross multiply
    421.22x = 580.52 × 323.21
  4. Step 4: Simplify right side
    421.22x = 187,632.13
  5. Step 5: Solve for x
    x = 187,632.13/421.22
  6. Step 6: Final answer
    x = 445.45

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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.