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Finding the Fourth Proportional to 222.84, 306.86 and 205.43

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Solution

The fourth proportional to 222.84, 306.86 and 205.43 is: 282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.84 : 306.86 = 205.43 : x
  2. Step 2: Convert to fraction form
    222.84/306.86 = 205.43/x
  3. Step 3: Cross multiply
    222.84x = 306.86 × 205.43
  4. Step 4: Simplify right side
    222.84x = 63,035.69
  5. Step 5: Solve for x
    x = 63,035.69/222.84
  6. Step 6: Final answer
    x = 282.87

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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.