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Finding the Fourth Proportional to 222.22, 306.66 and 123.97

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Solution

The fourth proportional to 222.22, 306.66 and 123.97 is: 171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.22 : 306.66 = 123.97 : x
  2. Step 2: Convert to fraction form
    222.22/306.66 = 123.97/x
  3. Step 3: Cross multiply
    222.22x = 306.66 × 123.97
  4. Step 4: Simplify right side
    222.22x = 38,016.64
  5. Step 5: Solve for x
    x = 38,016.64/222.22
  6. Step 6: Final answer
    x = 171.08

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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.