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Finding the Fourth Proportional to 322.84, 480.83 and 306.37

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Solution

The fourth proportional to 322.84, 480.83 and 306.37 is: 456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.84 : 480.83 = 306.37 : x
  2. Step 2: Convert to fraction form
    322.84/480.83 = 306.37/x
  3. Step 3: Cross multiply
    322.84x = 480.83 × 306.37
  4. Step 4: Simplify right side
    322.84x = 147,311.89
  5. Step 5: Solve for x
    x = 147,311.89/322.84
  6. Step 6: Final answer
    x = 456.30

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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.