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Finding the Fourth Proportional to 321.74, 443.96 and 188.97

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Solution

The fourth proportional to 321.74, 443.96 and 188.97 is: 260.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.74 : 443.96 = 188.97 : x
  2. Step 2: Convert to fraction form
    321.74/443.96 = 188.97/x
  3. Step 3: Cross multiply
    321.74x = 443.96 × 188.97
  4. Step 4: Simplify right side
    321.74x = 83,894.18
  5. Step 5: Solve for x
    x = 83,894.18/321.74
  6. Step 6: Final answer
    x = 260.76

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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.