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Finding the Fourth Proportional to 322.78, 481.63 and 303.19

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Solution

The fourth proportional to 322.78, 481.63 and 303.19 is: 452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.78 : 481.63 = 303.19 : x
  2. Step 2: Convert to fraction form
    322.78/481.63 = 303.19/x
  3. Step 3: Cross multiply
    322.78x = 481.63 × 303.19
  4. Step 4: Simplify right side
    322.78x = 146,021.48
  5. Step 5: Solve for x
    x = 146,021.48/322.78
  6. Step 6: Final answer
    x = 452.39

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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.