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Finding the Fourth Proportional to 192.98, 289.55 and 107.54

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Solution

The fourth proportional to 192.98, 289.55 and 107.54 is: 161.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.98 : 289.55 = 107.54 : x
  2. Step 2: Convert to fraction form
    192.98/289.55 = 107.54/x
  3. Step 3: Cross multiply
    192.98x = 289.55 × 107.54
  4. Step 4: Simplify right side
    192.98x = 31,138.21
  5. Step 5: Solve for x
    x = 31,138.21/192.98
  6. Step 6: Final answer
    x = 161.35

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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.