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Finding the Fourth Proportional to 222.34, 306.67 and 138.34

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Solution

The fourth proportional to 222.34, 306.67 and 138.34 is: 190.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.34 : 306.67 = 138.34 : x
  2. Step 2: Convert to fraction form
    222.34/306.67 = 138.34/x
  3. Step 3: Cross multiply
    222.34x = 306.67 × 138.34
  4. Step 4: Simplify right side
    222.34x = 42,422.50
  5. Step 5: Solve for x
    x = 42,422.50/222.34
  6. Step 6: Final answer
    x = 190.80

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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.