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Finding the Fourth Proportional to 419.97, 578.81 and 321.86

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Solution

The fourth proportional to 419.97, 578.81 and 321.86 is: 443.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.97 : 578.81 = 321.86 : x
  2. Step 2: Convert to fraction form
    419.97/578.81 = 321.86/x
  3. Step 3: Cross multiply
    419.97x = 578.81 × 321.86
  4. Step 4: Simplify right side
    419.97x = 186,295.79
  5. Step 5: Solve for x
    x = 186,295.79/419.97
  6. Step 6: Final answer
    x = 443.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.