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Finding the Fourth Proportional to 223.48, 307.78 and 222.84

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Solution

The fourth proportional to 223.48, 307.78 and 222.84 is: 306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.48 : 307.78 = 222.84 : x
  2. Step 2: Convert to fraction form
    223.48/307.78 = 222.84/x
  3. Step 3: Cross multiply
    223.48x = 307.78 × 222.84
  4. Step 4: Simplify right side
    223.48x = 68,585.70
  5. Step 5: Solve for x
    x = 68,585.70/223.48
  6. Step 6: Final answer
    x = 306.90

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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.