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Finding the Fourth Proportional to 234.78, 349.74 and 220.84

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Solution

The fourth proportional to 234.78, 349.74 and 220.84 is: 328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.78 : 349.74 = 220.84 : x
  2. Step 2: Convert to fraction form
    234.78/349.74 = 220.84/x
  3. Step 3: Cross multiply
    234.78x = 349.74 × 220.84
  4. Step 4: Simplify right side
    234.78x = 77,236.58
  5. Step 5: Solve for x
    x = 77,236.58/234.78
  6. Step 6: Final answer
    x = 328.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.