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Finding the Fourth Proportional to 223.48, 309.64 and 219.97

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Solution

The fourth proportional to 223.48, 309.64 and 219.97 is: 304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.48 : 309.64 = 219.97 : x
  2. Step 2: Convert to fraction form
    223.48/309.64 = 219.97/x
  3. Step 3: Cross multiply
    223.48x = 309.64 × 219.97
  4. Step 4: Simplify right side
    223.48x = 68,111.51
  5. Step 5: Solve for x
    x = 68,111.51/223.48
  6. Step 6: Final answer
    x = 304.78

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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.