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Finding the Fourth Proportional to 321.85, 479.48 and 306.37

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Solution

The fourth proportional to 321.85, 479.48 and 306.37 is: 456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.85 : 479.48 = 306.37 : x
  2. Step 2: Convert to fraction form
    321.85/479.48 = 306.37/x
  3. Step 3: Cross multiply
    321.85x = 479.48 × 306.37
  4. Step 4: Simplify right side
    321.85x = 146,895.56
  5. Step 5: Solve for x
    x = 146,895.56/321.85
  6. Step 6: Final answer
    x = 456.41

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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.