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Finding the Fourth Proportional to 128.96, 194.32 and 128.16

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Solution

The fourth proportional to 128.96, 194.32 and 128.16 is: 193.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.96 : 194.32 = 128.16 : x
  2. Step 2: Convert to fraction form
    128.96/194.32 = 128.16/x
  3. Step 3: Cross multiply
    128.96x = 194.32 × 128.16
  4. Step 4: Simplify right side
    128.96x = 24,904.05
  5. Step 5: Solve for x
    x = 24,904.05/128.96
  6. Step 6: Final answer
    x = 193.11

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