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Finding the Fourth Proportional to 200.64, 278.16 and 197.60

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Solution

The fourth proportional to 200.64, 278.16 and 197.60 is: 273.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.64 : 278.16 = 197.60 : x
  2. Step 2: Convert to fraction form
    200.64/278.16 = 197.60/x
  3. Step 3: Cross multiply
    200.64x = 278.16 × 197.60
  4. Step 4: Simplify right side
    200.64x = 54,964.42
  5. Step 5: Solve for x
    x = 54,964.42/200.64
  6. Step 6: Final answer
    x = 273.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.