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Finding the Fourth Proportional to 321.11, 443.50 and 257.45

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Solution

The fourth proportional to 321.11, 443.50 and 257.45 is: 355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.11 : 443.50 = 257.45 : x
  2. Step 2: Convert to fraction form
    321.11/443.50 = 257.45/x
  3. Step 3: Cross multiply
    321.11x = 443.50 × 257.45
  4. Step 4: Simplify right side
    321.11x = 114,179.08
  5. Step 5: Solve for x
    x = 114,179.08/321.11
  6. Step 6: Final answer
    x = 355.58

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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.