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Finding the Fourth Proportional to 320.22, 442.05 and 227.04

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Solution

The fourth proportional to 320.22, 442.05 and 227.04 is: 313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.22 : 442.05 = 227.04 : x
  2. Step 2: Convert to fraction form
    320.22/442.05 = 227.04/x
  3. Step 3: Cross multiply
    320.22x = 442.05 × 227.04
  4. Step 4: Simplify right side
    320.22x = 100,363.03
  5. Step 5: Solve for x
    x = 100,363.03/320.22
  6. Step 6: Final answer
    x = 313.42

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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.