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Finding the Fourth Proportional to 321.36, 442.80 and 217.68

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Solution

The fourth proportional to 321.36, 442.80 and 217.68 is: 299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.36 : 442.80 = 217.68 : x
  2. Step 2: Convert to fraction form
    321.36/442.80 = 217.68/x
  3. Step 3: Cross multiply
    321.36x = 442.80 × 217.68
  4. Step 4: Simplify right side
    321.36x = 96,388.70
  5. Step 5: Solve for x
    x = 96,388.70/321.36
  6. Step 6: Final answer
    x = 299.94

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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.