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Finding the Fourth Proportional to 198.90, 274.75 and 155.80

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Solution

The fourth proportional to 198.90, 274.75 and 155.80 is: 215.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.90 : 274.75 = 155.80 : x
  2. Step 2: Convert to fraction form
    198.90/274.75 = 155.80/x
  3. Step 3: Cross multiply
    198.90x = 274.75 × 155.80
  4. Step 4: Simplify right side
    198.90x = 42,806.05
  5. Step 5: Solve for x
    x = 42,806.05/198.90
  6. Step 6: Final answer
    x = 215.21

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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.