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Finding the Fourth Proportional to 321.10, 442.60 and 227.63

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Solution

The fourth proportional to 321.10, 442.60 and 227.63 is: 313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.10 : 442.60 = 227.63 : x
  2. Step 2: Convert to fraction form
    321.10/442.60 = 227.63/x
  3. Step 3: Cross multiply
    321.10x = 442.60 × 227.63
  4. Step 4: Simplify right side
    321.10x = 100,749.58
  5. Step 5: Solve for x
    x = 100,749.58/321.10
  6. Step 6: Final answer
    x = 313.77

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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.