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Finding the Fourth Proportional to 321.68, 443.06 and 256.07

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Solution

The fourth proportional to 321.68, 443.06 and 256.07 is: 352.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.68 : 443.06 = 256.07 : x
  2. Step 2: Convert to fraction form
    321.68/443.06 = 256.07/x
  3. Step 3: Cross multiply
    321.68x = 443.06 × 256.07
  4. Step 4: Simplify right side
    321.68x = 113,454.37
  5. Step 5: Solve for x
    x = 113,454.37/321.68
  6. Step 6: Final answer
    x = 352.69

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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.