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Finding the Fourth Proportional to 128.78, 192.38 and 128.15

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Solution

The fourth proportional to 128.78, 192.38 and 128.15 is: 191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.78 : 192.38 = 128.15 : x
  2. Step 2: Convert to fraction form
    128.78/192.38 = 128.15/x
  3. Step 3: Cross multiply
    128.78x = 192.38 × 128.15
  4. Step 4: Simplify right side
    128.78x = 24,651.89
  5. Step 5: Solve for x
    x = 24,651.89/128.78
  6. Step 6: Final answer
    x = 191.43

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