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Finding the Fourth Proportional to 322.60, 481.34 and 299.66

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Solution

The fourth proportional to 322.60, 481.34 and 299.66 is: 447.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.60 : 481.34 = 299.66 : x
  2. Step 2: Convert to fraction form
    322.60/481.34 = 299.66/x
  3. Step 3: Cross multiply
    322.60x = 481.34 × 299.66
  4. Step 4: Simplify right side
    322.60x = 144,238.34
  5. Step 5: Solve for x
    x = 144,238.34/322.60
  6. Step 6: Final answer
    x = 447.11

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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.