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Finding the Fourth Proportional to 200.15, 274.54 and 198.42

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Solution

The fourth proportional to 200.15, 274.54 and 198.42 is: 272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.15 : 274.54 = 198.42 : x
  2. Step 2: Convert to fraction form
    200.15/274.54 = 198.42/x
  3. Step 3: Cross multiply
    200.15x = 274.54 × 198.42
  4. Step 4: Simplify right side
    200.15x = 54,472.85
  5. Step 5: Solve for x
    x = 54,472.85/200.15
  6. Step 6: Final answer
    x = 272.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.