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Finding the Fourth Proportional to 223.76, 309 and 221.84

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Solution

The fourth proportional to 223.76, 309 and 221.84 is: 306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.76 : 309 = 221.84 : x
  2. Step 2: Convert to fraction form
    223.76/309 = 221.84/x
  3. Step 3: Cross multiply
    223.76x = 309 × 221.84
  4. Step 4: Simplify right side
    223.76x = 68,548.56
  5. Step 5: Solve for x
    x = 68,548.56/223.76
  6. Step 6: Final answer
    x = 306.35

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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.