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Finding the Fourth Proportional to 389.83, 581.99 and 321.49

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Solution

The fourth proportional to 389.83, 581.99 and 321.49 is: 479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.83 : 581.99 = 321.49 : x
  2. Step 2: Convert to fraction form
    389.83/581.99 = 321.49/x
  3. Step 3: Cross multiply
    389.83x = 581.99 × 321.49
  4. Step 4: Simplify right side
    389.83x = 187,103.97
  5. Step 5: Solve for x
    x = 187,103.97/389.83
  6. Step 6: Final answer
    x = 479.96

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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.