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Finding the Fourth Proportional to 321.66, 481.17 and 302.22

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Solution

The fourth proportional to 321.66, 481.17 and 302.22 is: 452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.66 : 481.17 = 302.22 : x
  2. Step 2: Convert to fraction form
    321.66/481.17 = 302.22/x
  3. Step 3: Cross multiply
    321.66x = 481.17 × 302.22
  4. Step 4: Simplify right side
    321.66x = 145,419.20
  5. Step 5: Solve for x
    x = 145,419.20/321.66
  6. Step 6: Final answer
    x = 452.09

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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.