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Finding the Fourth Proportional to 321, 443.14 and 301.80

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Solution

The fourth proportional to 321, 443.14 and 301.80 is: 416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    321 : 443.14 = 301.80 : x
  2. Step 2: Convert to fraction form
    321/443.14 = 301.80/x
  3. Step 3: Cross multiply
    321x = 443.14 × 301.80
  4. Step 4: Simplify right side
    321x = 133,739.65
  5. Step 5: Solve for x
    x = 133,739.65/321
  6. Step 6: Final answer
    x = 416.63

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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.