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Finding the Fourth Proportional to 322.45, 481.07 and 306.99

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Solution

The fourth proportional to 322.45, 481.07 and 306.99 is: 458.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.45 : 481.07 = 306.99 : x
  2. Step 2: Convert to fraction form
    322.45/481.07 = 306.99/x
  3. Step 3: Cross multiply
    322.45x = 481.07 × 306.99
  4. Step 4: Simplify right side
    322.45x = 147,684.45
  5. Step 5: Solve for x
    x = 147,684.45/322.45
  6. Step 6: Final answer
    x = 458.01

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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.