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Finding the Fourth Proportional to 321.72, 442.80 and 285

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Solution

The fourth proportional to 321.72, 442.80 and 285 is: 392.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.72 : 442.80 = 285 : x
  2. Step 2: Convert to fraction form
    321.72/442.80 = 285/x
  3. Step 3: Cross multiply
    321.72x = 442.80 × 285
  4. Step 4: Simplify right side
    321.72x = 126,198
  5. Step 5: Solve for x
    x = 126,198/321.72
  6. Step 6: Final answer
    x = 392.26

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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.