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Finding the Fourth Proportional to 329.37, 451.81 and 322.54

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Solution

The fourth proportional to 329.37, 451.81 and 322.54 is: 442.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.37 : 451.81 = 322.54 : x
  2. Step 2: Convert to fraction form
    329.37/451.81 = 322.54/x
  3. Step 3: Cross multiply
    329.37x = 451.81 × 322.54
  4. Step 4: Simplify right side
    329.37x = 145,724.86
  5. Step 5: Solve for x
    x = 145,724.86/329.37
  6. Step 6: Final answer
    x = 442.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.