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Finding the Fourth Proportional to 234.03, 349.13 and 193.33

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Solution

The fourth proportional to 234.03, 349.13 and 193.33 is: 288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.03 : 349.13 = 193.33 : x
  2. Step 2: Convert to fraction form
    234.03/349.13 = 193.33/x
  3. Step 3: Cross multiply
    234.03x = 349.13 × 193.33
  4. Step 4: Simplify right side
    234.03x = 67,497.30
  5. Step 5: Solve for x
    x = 67,497.30/234.03
  6. Step 6: Final answer
    x = 288.41

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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.