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Finding the Fourth Proportional to 322.48, 481.39 and 299.98

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Solution

The fourth proportional to 322.48, 481.39 and 299.98 is: 447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.48 : 481.39 = 299.98 : x
  2. Step 2: Convert to fraction form
    322.48/481.39 = 299.98/x
  3. Step 3: Cross multiply
    322.48x = 481.39 × 299.98
  4. Step 4: Simplify right side
    322.48x = 144,407.37
  5. Step 5: Solve for x
    x = 144,407.37/322.48
  6. Step 6: Final answer
    x = 447.80

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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.