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Finding the Fourth Proportional to 353.95, 488.46 and 198.70

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Solution

The fourth proportional to 353.95, 488.46 and 198.70 is: 274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.95 : 488.46 = 198.70 : x
  2. Step 2: Convert to fraction form
    353.95/488.46 = 198.70/x
  3. Step 3: Cross multiply
    353.95x = 488.46 × 198.70
  4. Step 4: Simplify right side
    353.95x = 97,057.60
  5. Step 5: Solve for x
    x = 97,057.60/353.95
  6. Step 6: Final answer
    x = 274.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.