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Finding the Fourth Proportional to 419.98, 579.80 and 321.92

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Solution

The fourth proportional to 419.98, 579.80 and 321.92 is: 444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.98 : 579.80 = 321.92 : x
  2. Step 2: Convert to fraction form
    419.98/579.80 = 321.92/x
  3. Step 3: Cross multiply
    419.98x = 579.80 × 321.92
  4. Step 4: Simplify right side
    419.98x = 186,649.22
  5. Step 5: Solve for x
    x = 186,649.22/419.98
  6. Step 6: Final answer
    x = 444.42

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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.