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Finding the Fourth Proportional to 192.19, 288.42 and 105.59

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Solution

The fourth proportional to 192.19, 288.42 and 105.59 is: 158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.19 : 288.42 = 105.59 : x
  2. Step 2: Convert to fraction form
    192.19/288.42 = 105.59/x
  3. Step 3: Cross multiply
    192.19x = 288.42 × 105.59
  4. Step 4: Simplify right side
    192.19x = 30,454.30
  5. Step 5: Solve for x
    x = 30,454.30/192.19
  6. Step 6: Final answer
    x = 158.46

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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.