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Finding the Fourth Proportional to 223.89, 309 and 135.44

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Solution

The fourth proportional to 223.89, 309 and 135.44 is: 186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.89 : 309 = 135.44 : x
  2. Step 2: Convert to fraction form
    223.89/309 = 135.44/x
  3. Step 3: Cross multiply
    223.89x = 309 × 135.44
  4. Step 4: Simplify right side
    223.89x = 41,850.96
  5. Step 5: Solve for x
    x = 41,850.96/223.89
  6. Step 6: Final answer
    x = 186.93

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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.