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Finding the Fourth Proportional to 222.96, 309.00 and 219.54

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Solution

The fourth proportional to 222.96, 309.00 and 219.54 is: 304.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.96 : 309.00 = 219.54 : x
  2. Step 2: Convert to fraction form
    222.96/309.00 = 219.54/x
  3. Step 3: Cross multiply
    222.96x = 309.00 × 219.54
  4. Step 4: Simplify right side
    222.96x = 67,838.61
  5. Step 5: Solve for x
    x = 67,838.61/222.96
  6. Step 6: Final answer
    x = 304.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.