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Finding the Fourth Proportional to 351.87, 485.96 and 322.71

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Solution

The fourth proportional to 351.87, 485.96 and 322.71 is: 445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.87 : 485.96 = 322.71 : x
  2. Step 2: Convert to fraction form
    351.87/485.96 = 322.71/x
  3. Step 3: Cross multiply
    351.87x = 485.96 × 322.71
  4. Step 4: Simplify right side
    351.87x = 156,822.54
  5. Step 5: Solve for x
    x = 156,822.54/351.87
  6. Step 6: Final answer
    x = 445.68

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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.