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Finding the Fourth Proportional to 200.15, 274.25 and 197.58

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Solution

The fourth proportional to 200.15, 274.25 and 197.58 is: 270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.15 : 274.25 = 197.58 : x
  2. Step 2: Convert to fraction form
    200.15/274.25 = 197.58/x
  3. Step 3: Cross multiply
    200.15x = 274.25 × 197.58
  4. Step 4: Simplify right side
    200.15x = 54,186.32
  5. Step 5: Solve for x
    x = 54,186.32/200.15
  6. Step 6: Final answer
    x = 270.73

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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.