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Finding the Fourth Proportional to 234.23, 349.35 and 212.36

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Solution

The fourth proportional to 234.23, 349.35 and 212.36 is: 316.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.23 : 349.35 = 212.36 : x
  2. Step 2: Convert to fraction form
    234.23/349.35 = 212.36/x
  3. Step 3: Cross multiply
    234.23x = 349.35 × 212.36
  4. Step 4: Simplify right side
    234.23x = 74,185.42
  5. Step 5: Solve for x
    x = 74,185.42/234.23
  6. Step 6: Final answer
    x = 316.73

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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.