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Finding the Fourth Proportional to 203.36, 303.40 and 197.78

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Solution

The fourth proportional to 203.36, 303.40 and 197.78 is: 295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.36 : 303.40 = 197.78 : x
  2. Step 2: Convert to fraction form
    203.36/303.40 = 197.78/x
  3. Step 3: Cross multiply
    203.36x = 303.40 × 197.78
  4. Step 4: Simplify right side
    203.36x = 60,006.45
  5. Step 5: Solve for x
    x = 60,006.45/203.36
  6. Step 6: Final answer
    x = 295.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.