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Finding the Fourth Proportional to 321.48, 443.22 and 234.04

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Solution

The fourth proportional to 321.48, 443.22 and 234.04 is: 322.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.48 : 443.22 = 234.04 : x
  2. Step 2: Convert to fraction form
    321.48/443.22 = 234.04/x
  3. Step 3: Cross multiply
    321.48x = 443.22 × 234.04
  4. Step 4: Simplify right side
    321.48x = 103,731.21
  5. Step 5: Solve for x
    x = 103,731.21/321.48
  6. Step 6: Final answer
    x = 322.67

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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.