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Finding the Fourth Proportional to 202.92, 306.15 and 192.80

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Solution

The fourth proportional to 202.92, 306.15 and 192.80 is: 290.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.92 : 306.15 = 192.80 : x
  2. Step 2: Convert to fraction form
    202.92/306.15 = 192.80/x
  3. Step 3: Cross multiply
    202.92x = 306.15 × 192.80
  4. Step 4: Simplify right side
    202.92x = 59,025.72
  5. Step 5: Solve for x
    x = 59,025.72/202.92
  6. Step 6: Final answer
    x = 290.88

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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.