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Finding the Fourth Proportional to 238.67, 357.23 and 128.83

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Solution

The fourth proportional to 238.67, 357.23 and 128.83 is: 192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.67 : 357.23 = 128.83 : x
  2. Step 2: Convert to fraction form
    238.67/357.23 = 128.83/x
  3. Step 3: Cross multiply
    238.67x = 357.23 × 128.83
  4. Step 4: Simplify right side
    238.67x = 46,021.37
  5. Step 5: Solve for x
    x = 46,021.37/238.67
  6. Step 6: Final answer
    x = 192.82

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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.