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Finding the Fourth Proportional to 321.02, 443.01 and 173.65

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Solution

The fourth proportional to 321.02, 443.01 and 173.65 is: 239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.02 : 443.01 = 173.65 : x
  2. Step 2: Convert to fraction form
    321.02/443.01 = 173.65/x
  3. Step 3: Cross multiply
    321.02x = 443.01 × 173.65
  4. Step 4: Simplify right side
    321.02x = 76,928.01
  5. Step 5: Solve for x
    x = 76,928.01/321.02
  6. Step 6: Final answer
    x = 239.64

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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.