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Finding the Fourth Proportional to 222.02, 331.61 and 189.37

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Solution

The fourth proportional to 222.02, 331.61 and 189.37 is: 282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.02 : 331.61 = 189.37 : x
  2. Step 2: Convert to fraction form
    222.02/331.61 = 189.37/x
  3. Step 3: Cross multiply
    222.02x = 331.61 × 189.37
  4. Step 4: Simplify right side
    222.02x = 62,796.99
  5. Step 5: Solve for x
    x = 62,796.99/222.02
  6. Step 6: Final answer
    x = 282.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.