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Finding the Fourth Proportional to 320.82, 442.44 and 221.19

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Solution

The fourth proportional to 320.82, 442.44 and 221.19 is: 305.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.82 : 442.44 = 221.19 : x
  2. Step 2: Convert to fraction form
    320.82/442.44 = 221.19/x
  3. Step 3: Cross multiply
    320.82x = 442.44 × 221.19
  4. Step 4: Simplify right side
    320.82x = 97,863.30
  5. Step 5: Solve for x
    x = 97,863.30/320.82
  6. Step 6: Final answer
    x = 305.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.