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Finding the Fourth Proportional to 559.08, 838.42 and 193.78

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Solution

The fourth proportional to 559.08, 838.42 and 193.78 is: 290.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.08 : 838.42 = 193.78 : x
  2. Step 2: Convert to fraction form
    559.08/838.42 = 193.78/x
  3. Step 3: Cross multiply
    559.08x = 838.42 × 193.78
  4. Step 4: Simplify right side
    559.08x = 162,469.03
  5. Step 5: Solve for x
    x = 162,469.03/559.08
  6. Step 6: Final answer
    x = 290.60

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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.