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Finding the Fourth Proportional to 321.96, 483.84 and 320.22

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Solution

The fourth proportional to 321.96, 483.84 and 320.22 is: 481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.96 : 483.84 = 320.22 : x
  2. Step 2: Convert to fraction form
    321.96/483.84 = 320.22/x
  3. Step 3: Cross multiply
    321.96x = 483.84 × 320.22
  4. Step 4: Simplify right side
    321.96x = 154,935.24
  5. Step 5: Solve for x
    x = 154,935.24/321.96
  6. Step 6: Final answer
    x = 481.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.