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Finding the Fourth Proportional to 128.29, 192.75 and 82.75

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Solution

The fourth proportional to 128.29, 192.75 and 82.75 is: 124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.29 : 192.75 = 82.75 : x
  2. Step 2: Convert to fraction form
    128.29/192.75 = 82.75/x
  3. Step 3: Cross multiply
    128.29x = 192.75 × 82.75
  4. Step 4: Simplify right side
    128.29x = 15,950.06
  5. Step 5: Solve for x
    x = 15,950.06/128.29
  6. Step 6: Final answer
    x = 124.33

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Why These Related Problems?

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