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Finding the Fourth Proportional to 192.33, 263.67 and 188.67

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Solution

The fourth proportional to 192.33, 263.67 and 188.67 is: 258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.33 : 263.67 = 188.67 : x
  2. Step 2: Convert to fraction form
    192.33/263.67 = 188.67/x
  3. Step 3: Cross multiply
    192.33x = 263.67 × 188.67
  4. Step 4: Simplify right side
    192.33x = 49,746.62
  5. Step 5: Solve for x
    x = 49,746.62/192.33
  6. Step 6: Final answer
    x = 258.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.