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Finding the Fourth Proportional to 202.12, 301.49 and 197.32

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Solution

The fourth proportional to 202.12, 301.49 and 197.32 is: 294.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.12 : 301.49 = 197.32 : x
  2. Step 2: Convert to fraction form
    202.12/301.49 = 197.32/x
  3. Step 3: Cross multiply
    202.12x = 301.49 × 197.32
  4. Step 4: Simplify right side
    202.12x = 59,490.01
  5. Step 5: Solve for x
    x = 59,490.01/202.12
  6. Step 6: Final answer
    x = 294.33

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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.