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Finding the Fourth Proportional to 321.14, 443.14 and 188.33

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Solution

The fourth proportional to 321.14, 443.14 and 188.33 is: 259.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.14 : 443.14 = 188.33 : x
  2. Step 2: Convert to fraction form
    321.14/443.14 = 188.33/x
  3. Step 3: Cross multiply
    321.14x = 443.14 × 188.33
  4. Step 4: Simplify right side
    321.14x = 83,453.87
  5. Step 5: Solve for x
    x = 83,453.87/321.14
  6. Step 6: Final answer
    x = 259.87

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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.