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Finding the Fourth Proportional to 321.88, 442.26 and 256.27

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Solution

The fourth proportional to 321.88, 442.26 and 256.27 is: 352.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.88 : 442.26 = 256.27 : x
  2. Step 2: Convert to fraction form
    321.88/442.26 = 256.27/x
  3. Step 3: Cross multiply
    321.88x = 442.26 × 256.27
  4. Step 4: Simplify right side
    321.88x = 113,337.97
  5. Step 5: Solve for x
    x = 113,337.97/321.88
  6. Step 6: Final answer
    x = 352.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.