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Finding the Fourth Proportional to 321.57, 479.07 and 306.09

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Solution

The fourth proportional to 321.57, 479.07 and 306.09 is: 456.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.57 : 479.07 = 306.09 : x
  2. Step 2: Convert to fraction form
    321.57/479.07 = 306.09/x
  3. Step 3: Cross multiply
    321.57x = 479.07 × 306.09
  4. Step 4: Simplify right side
    321.57x = 146,638.54
  5. Step 5: Solve for x
    x = 146,638.54/321.57
  6. Step 6: Final answer
    x = 456.01

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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.