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Finding the Fourth Proportional to 324.48, 441.60 and 321.60

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Solution

The fourth proportional to 324.48, 441.60 and 321.60 is: 437.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.48 : 441.60 = 321.60 : x
  2. Step 2: Convert to fraction form
    324.48/441.60 = 321.60/x
  3. Step 3: Cross multiply
    324.48x = 441.60 × 321.60
  4. Step 4: Simplify right side
    324.48x = 142,018.56
  5. Step 5: Solve for x
    x = 142,018.56/324.48
  6. Step 6: Final answer
    x = 437.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.