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Finding the Fourth Proportional to 234.12, 349.53 and 193.62

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Solution

The fourth proportional to 234.12, 349.53 and 193.62 is: 289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.12 : 349.53 = 193.62 : x
  2. Step 2: Convert to fraction form
    234.12/349.53 = 193.62/x
  3. Step 3: Cross multiply
    234.12x = 349.53 × 193.62
  4. Step 4: Simplify right side
    234.12x = 67,676.00
  5. Step 5: Solve for x
    x = 67,676.00/234.12
  6. Step 6: Final answer
    x = 289.07

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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.