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Finding the Fourth Proportional to 558.98, 838.49 and 193.78

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Solution

The fourth proportional to 558.98, 838.49 and 193.78 is: 290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.98 : 838.49 = 193.78 : x
  2. Step 2: Convert to fraction form
    558.98/838.49 = 193.78/x
  3. Step 3: Cross multiply
    558.98x = 838.49 × 193.78
  4. Step 4: Simplify right side
    558.98x = 162,477.95
  5. Step 5: Solve for x
    x = 162,477.95/558.98
  6. Step 6: Final answer
    x = 290.67

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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.