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Finding the Fourth Proportional to 192.65, 289.04 and 82.98

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Solution

The fourth proportional to 192.65, 289.04 and 82.98 is: 124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.65 : 289.04 = 82.98 : x
  2. Step 2: Convert to fraction form
    192.65/289.04 = 82.98/x
  3. Step 3: Cross multiply
    192.65x = 289.04 × 82.98
  4. Step 4: Simplify right side
    192.65x = 23,984.12
  5. Step 5: Solve for x
    x = 23,984.12/192.65
  6. Step 6: Final answer
    x = 124.50

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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.