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Finding the Fourth Proportional to 222.24, 331.40 and 189.92

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Solution

The fourth proportional to 222.24, 331.40 and 189.92 is: 283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.24 : 331.40 = 189.92 : x
  2. Step 2: Convert to fraction form
    222.24/331.40 = 189.92/x
  3. Step 3: Cross multiply
    222.24x = 331.40 × 189.92
  4. Step 4: Simplify right side
    222.24x = 62,939.49
  5. Step 5: Solve for x
    x = 62,939.49/222.24
  6. Step 6: Final answer
    x = 283.21

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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.