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Finding the Fourth Proportional to 321.95, 444.56 and 223.67

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Solution

The fourth proportional to 321.95, 444.56 and 223.67 is: 308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.95 : 444.56 = 223.67 : x
  2. Step 2: Convert to fraction form
    321.95/444.56 = 223.67/x
  3. Step 3: Cross multiply
    321.95x = 444.56 × 223.67
  4. Step 4: Simplify right side
    321.95x = 99,431.39
  5. Step 5: Solve for x
    x = 99,431.39/321.95
  6. Step 6: Final answer
    x = 308.85

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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.