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Finding the Fourth Proportional to 202.26, 301.78 and 197.81

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Solution

The fourth proportional to 202.26, 301.78 and 197.81 is: 295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.26 : 301.78 = 197.81 : x
  2. Step 2: Convert to fraction form
    202.26/301.78 = 197.81/x
  3. Step 3: Cross multiply
    202.26x = 301.78 × 197.81
  4. Step 4: Simplify right side
    202.26x = 59,693.10
  5. Step 5: Solve for x
    x = 59,693.10/202.26
  6. Step 6: Final answer
    x = 295.13

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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.