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Finding the Fourth Proportional to 202.27, 277.45 and 196.45

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Solution

The fourth proportional to 202.27, 277.45 and 196.45 is: 269.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.27 : 277.45 = 196.45 : x
  2. Step 2: Convert to fraction form
    202.27/277.45 = 196.45/x
  3. Step 3: Cross multiply
    202.27x = 277.45 × 196.45
  4. Step 4: Simplify right side
    202.27x = 54,505.20
  5. Step 5: Solve for x
    x = 54,505.20/202.27
  6. Step 6: Final answer
    x = 269.46

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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.