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Finding the Fourth Proportional to 320.80, 442.24 and 227.26

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Solution

The fourth proportional to 320.80, 442.24 and 227.26 is: 313.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.80 : 442.24 = 227.26 : x
  2. Step 2: Convert to fraction form
    320.80/442.24 = 227.26/x
  3. Step 3: Cross multiply
    320.80x = 442.24 × 227.26
  4. Step 4: Simplify right side
    320.80x = 100,503.46
  5. Step 5: Solve for x
    x = 100,503.46/320.80
  6. Step 6: Final answer
    x = 313.29

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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.