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Finding the Fourth Proportional to 352.74, 485.36 and 323.94

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Solution

The fourth proportional to 352.74, 485.36 and 323.94 is: 445.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.74 : 485.36 = 323.94 : x
  2. Step 2: Convert to fraction form
    352.74/485.36 = 323.94/x
  3. Step 3: Cross multiply
    352.74x = 485.36 × 323.94
  4. Step 4: Simplify right side
    352.74x = 157,227.52
  5. Step 5: Solve for x
    x = 157,227.52/352.74
  6. Step 6: Final answer
    x = 445.73

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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.