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Finding the Fourth Proportional to 324.48, 483.96 and 321.12

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Solution

The fourth proportional to 324.48, 483.96 and 321.12 is: 478.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.48 : 483.96 = 321.12 : x
  2. Step 2: Convert to fraction form
    324.48/483.96 = 321.12/x
  3. Step 3: Cross multiply
    324.48x = 483.96 × 321.12
  4. Step 4: Simplify right side
    324.48x = 155,409.24
  5. Step 5: Solve for x
    x = 155,409.24/324.48
  6. Step 6: Final answer
    x = 478.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.