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Finding the Fourth Proportional to 321.72, 442.44 and 256.11

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Solution

The fourth proportional to 321.72, 442.44 and 256.11 is: 352.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.72 : 442.44 = 256.11 : x
  2. Step 2: Convert to fraction form
    321.72/442.44 = 256.11/x
  3. Step 3: Cross multiply
    321.72x = 442.44 × 256.11
  4. Step 4: Simplify right side
    321.72x = 113,313.31
  5. Step 5: Solve for x
    x = 113,313.31/321.72
  6. Step 6: Final answer
    x = 352.21

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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.