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Finding the Fourth Proportional to 128.21, 192.32 and 41.54

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Solution

The fourth proportional to 128.21, 192.32 and 41.54 is: 62.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.21 : 192.32 = 41.54 : x
  2. Step 2: Convert to fraction form
    128.21/192.32 = 41.54/x
  3. Step 3: Cross multiply
    128.21x = 192.32 × 41.54
  4. Step 4: Simplify right side
    128.21x = 7,989.56
  5. Step 5: Solve for x
    x = 7,989.56/128.21
  6. Step 6: Final answer
    x = 62.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.