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Finding the Fourth Proportional to 199.36, 277.02 and 197.40

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Solution

The fourth proportional to 199.36, 277.02 and 197.40 is: 274.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.36 : 277.02 = 197.40 : x
  2. Step 2: Convert to fraction form
    199.36/277.02 = 197.40/x
  3. Step 3: Cross multiply
    199.36x = 277.02 × 197.40
  4. Step 4: Simplify right side
    199.36x = 54,683.75
  5. Step 5: Solve for x
    x = 54,683.75/199.36
  6. Step 6: Final answer
    x = 274.30

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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.