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Finding the Fourth Proportional to 223.78, 309.30 and 174.82

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Solution

The fourth proportional to 223.78, 309.30 and 174.82 is: 241.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.78 : 309.30 = 174.82 : x
  2. Step 2: Convert to fraction form
    223.78/309.30 = 174.82/x
  3. Step 3: Cross multiply
    223.78x = 309.30 × 174.82
  4. Step 4: Simplify right side
    223.78x = 54,071.83
  5. Step 5: Solve for x
    x = 54,071.83/223.78
  6. Step 6: Final answer
    x = 241.63

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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.