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Finding the Fourth Proportional to 320.40, 441.81 and 222.21

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Solution

The fourth proportional to 320.40, 441.81 and 222.21 is: 306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.40 : 441.81 = 222.21 : x
  2. Step 2: Convert to fraction form
    320.40/441.81 = 222.21/x
  3. Step 3: Cross multiply
    320.40x = 441.81 × 222.21
  4. Step 4: Simplify right side
    320.40x = 98,174.60
  5. Step 5: Solve for x
    x = 98,174.60/320.40
  6. Step 6: Final answer
    x = 306.41

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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.