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Finding the Fourth Proportional to 198.50, 274.30 and 189.02

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Solution

The fourth proportional to 198.50, 274.30 and 189.02 is: 261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.50 : 274.30 = 189.02 : x
  2. Step 2: Convert to fraction form
    198.50/274.30 = 189.02/x
  3. Step 3: Cross multiply
    198.50x = 274.30 × 189.02
  4. Step 4: Simplify right side
    198.50x = 51,847.24
  5. Step 5: Solve for x
    x = 51,847.24/198.50
  6. Step 6: Final answer
    x = 261.20

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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.