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Finding the Fourth Proportional to 321.99, 444.30 and 223.77

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Solution

The fourth proportional to 321.99, 444.30 and 223.77 is: 308.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.99 : 444.30 = 223.77 : x
  2. Step 2: Convert to fraction form
    321.99/444.30 = 223.77/x
  3. Step 3: Cross multiply
    321.99x = 444.30 × 223.77
  4. Step 4: Simplify right side
    321.99x = 99,423.10
  5. Step 5: Solve for x
    x = 99,423.10/321.99
  6. Step 6: Final answer
    x = 308.78

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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.