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Finding the Fourth Proportional to 234.95, 350.76 and 198.50

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Solution

The fourth proportional to 234.95, 350.76 and 198.50 is: 296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.95 : 350.76 = 198.50 : x
  2. Step 2: Convert to fraction form
    234.95/350.76 = 198.50/x
  3. Step 3: Cross multiply
    234.95x = 350.76 × 198.50
  4. Step 4: Simplify right side
    234.95x = 69,624.11
  5. Step 5: Solve for x
    x = 69,624.11/234.95
  6. Step 6: Final answer
    x = 296.34

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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.