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Finding the Fourth Proportional to 192.15, 288.15 and 82.47

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Solution

The fourth proportional to 192.15, 288.15 and 82.47 is: 123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.15 : 288.15 = 82.47 : x
  2. Step 2: Convert to fraction form
    192.15/288.15 = 82.47/x
  3. Step 3: Cross multiply
    192.15x = 288.15 × 82.47
  4. Step 4: Simplify right side
    192.15x = 23,763.73
  5. Step 5: Solve for x
    x = 23,763.73/192.15
  6. Step 6: Final answer
    x = 123.67

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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.