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Finding the Fourth Proportional to 198.95, 274.64 and 150.35

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Solution

The fourth proportional to 198.95, 274.64 and 150.35 is: 207.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.95 : 274.64 = 150.35 : x
  2. Step 2: Convert to fraction form
    198.95/274.64 = 150.35/x
  3. Step 3: Cross multiply
    198.95x = 274.64 × 150.35
  4. Step 4: Simplify right side
    198.95x = 41,290.00
  5. Step 5: Solve for x
    x = 41,290.00/198.95
  6. Step 6: Final answer
    x = 207.54

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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.