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Finding the Fourth Proportional to 354, 488.56 and 198.80

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Solution

The fourth proportional to 354, 488.56 and 198.80 is: 274.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    354 : 488.56 = 198.80 : x
  2. Step 2: Convert to fraction form
    354/488.56 = 198.80/x
  3. Step 3: Cross multiply
    354x = 488.56 × 198.80
  4. Step 4: Simplify right side
    354x = 97,125.73
  5. Step 5: Solve for x
    x = 97,125.73/354
  6. Step 6: Final answer
    x = 274.37

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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.