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Finding the Fourth Proportional to 321.88, 444.02 and 203.64

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Solution

The fourth proportional to 321.88, 444.02 and 203.64 is: 280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.88 : 444.02 = 203.64 : x
  2. Step 2: Convert to fraction form
    321.88/444.02 = 203.64/x
  3. Step 3: Cross multiply
    321.88x = 444.02 × 203.64
  4. Step 4: Simplify right side
    321.88x = 90,416.99
  5. Step 5: Solve for x
    x = 90,416.99/321.88
  6. Step 6: Final answer
    x = 280.90

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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.