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Finding the Fourth Proportional to 234.80, 350.50 and 206

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Solution

The fourth proportional to 234.80, 350.50 and 206 is: 307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.80 : 350.50 = 206 : x
  2. Step 2: Convert to fraction form
    234.80/350.50 = 206/x
  3. Step 3: Cross multiply
    234.80x = 350.50 × 206
  4. Step 4: Simplify right side
    234.80x = 72,203
  5. Step 5: Solve for x
    x = 72,203/234.80
  6. Step 6: Final answer
    x = 307.51

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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.