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Finding the Fourth Proportional to 322.63, 480.68 and 301.66

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Solution

The fourth proportional to 322.63, 480.68 and 301.66 is: 449.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.63 : 480.68 = 301.66 : x
  2. Step 2: Convert to fraction form
    322.63/480.68 = 301.66/x
  3. Step 3: Cross multiply
    322.63x = 480.68 × 301.66
  4. Step 4: Simplify right side
    322.63x = 145,001.93
  5. Step 5: Solve for x
    x = 145,001.93/322.63
  6. Step 6: Final answer
    x = 449.44

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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.