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Finding the Fourth Proportional to 322.62, 480.44 and 301.86

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Solution

The fourth proportional to 322.62, 480.44 and 301.86 is: 449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.62 : 480.44 = 301.86 : x
  2. Step 2: Convert to fraction form
    322.62/480.44 = 301.86/x
  3. Step 3: Cross multiply
    322.62x = 480.44 × 301.86
  4. Step 4: Simplify right side
    322.62x = 145,025.62
  5. Step 5: Solve for x
    x = 145,025.62/322.62
  6. Step 6: Final answer
    x = 449.52

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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.