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Finding the Fourth Proportional to 321.76, 480.05 and 306.27

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Solution

The fourth proportional to 321.76, 480.05 and 306.27 is: 456.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.76 : 480.05 = 306.27 : x
  2. Step 2: Convert to fraction form
    321.76/480.05 = 306.27/x
  3. Step 3: Cross multiply
    321.76x = 480.05 × 306.27
  4. Step 4: Simplify right side
    321.76x = 147,024.91
  5. Step 5: Solve for x
    x = 147,024.91/321.76
  6. Step 6: Final answer
    x = 456.94

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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.