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Finding the Fourth Proportional to 202.88, 306.08 and 197.12

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Solution

The fourth proportional to 202.88, 306.08 and 197.12 is: 297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.88 : 306.08 = 197.12 : x
  2. Step 2: Convert to fraction form
    202.88/306.08 = 197.12/x
  3. Step 3: Cross multiply
    202.88x = 306.08 × 197.12
  4. Step 4: Simplify right side
    202.88x = 60,334.49
  5. Step 5: Solve for x
    x = 60,334.49/202.88
  6. Step 6: Final answer
    x = 297.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.