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Finding the Fourth Proportional to 234.78, 350.54 and 212.10

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Solution

The fourth proportional to 234.78, 350.54 and 212.10 is: 316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.78 : 350.54 = 212.10 : x
  2. Step 2: Convert to fraction form
    234.78/350.54 = 212.10/x
  3. Step 3: Cross multiply
    234.78x = 350.54 × 212.10
  4. Step 4: Simplify right side
    234.78x = 74,348.47
  5. Step 5: Solve for x
    x = 74,348.47/234.78
  6. Step 6: Final answer
    x = 316.67

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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.