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Finding the Fourth Proportional to 338.22, 506.50 and 193.50

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Solution

The fourth proportional to 338.22, 506.50 and 193.50 is: 289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.22 : 506.50 = 193.50 : x
  2. Step 2: Convert to fraction form
    338.22/506.50 = 193.50/x
  3. Step 3: Cross multiply
    338.22x = 506.50 × 193.50
  4. Step 4: Simplify right side
    338.22x = 98,007.75
  5. Step 5: Solve for x
    x = 98,007.75/338.22
  6. Step 6: Final answer
    x = 289.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.