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Finding the Fourth Proportional to 321.75, 444.06 and 234.54

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Solution

The fourth proportional to 321.75, 444.06 and 234.54 is: 323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.75 : 444.06 = 234.54 : x
  2. Step 2: Convert to fraction form
    321.75/444.06 = 234.54/x
  3. Step 3: Cross multiply
    321.75x = 444.06 × 234.54
  4. Step 4: Simplify right side
    321.75x = 104,149.83
  5. Step 5: Solve for x
    x = 104,149.83/321.75
  6. Step 6: Final answer
    x = 323.70

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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.