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Finding the Fourth Proportional to 321.98, 483.87 and 300.31

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Solution

The fourth proportional to 321.98, 483.87 and 300.31 is: 451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.98 : 483.87 = 300.31 : x
  2. Step 2: Convert to fraction form
    321.98/483.87 = 300.31/x
  3. Step 3: Cross multiply
    321.98x = 483.87 × 300.31
  4. Step 4: Simplify right side
    321.98x = 145,310.92
  5. Step 5: Solve for x
    x = 145,310.92/321.98
  6. Step 6: Final answer
    x = 451.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.