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Finding the Fourth Proportional to 198.78, 274.36 and 125.08

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Solution

The fourth proportional to 198.78, 274.36 and 125.08 is: 172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.78 : 274.36 = 125.08 : x
  2. Step 2: Convert to fraction form
    198.78/274.36 = 125.08/x
  3. Step 3: Cross multiply
    198.78x = 274.36 × 125.08
  4. Step 4: Simplify right side
    198.78x = 34,316.95
  5. Step 5: Solve for x
    x = 34,316.95/198.78
  6. Step 6: Final answer
    x = 172.64

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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.