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Finding the Fourth Proportional to 223.67, 310.73 and 221.67

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Solution

The fourth proportional to 223.67, 310.73 and 221.67 is: 307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.67 : 310.73 = 221.67 : x
  2. Step 2: Convert to fraction form
    223.67/310.73 = 221.67/x
  3. Step 3: Cross multiply
    223.67x = 310.73 × 221.67
  4. Step 4: Simplify right side
    223.67x = 68,880.07
  5. Step 5: Solve for x
    x = 68,880.07/223.67
  6. Step 6: Final answer
    x = 307.95

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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.