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Finding the Fourth Proportional to 322.65, 481.01 and 308.07

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Solution

The fourth proportional to 322.65, 481.01 and 308.07 is: 459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.65 : 481.01 = 308.07 : x
  2. Step 2: Convert to fraction form
    322.65/481.01 = 308.07/x
  3. Step 3: Cross multiply
    322.65x = 481.01 × 308.07
  4. Step 4: Simplify right side
    322.65x = 148,183.21
  5. Step 5: Solve for x
    x = 148,183.21/322.65
  6. Step 6: Final answer
    x = 459.27

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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.