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Finding the Fourth Proportional to 192.20, 288.30 and 164.60

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Solution

The fourth proportional to 192.20, 288.30 and 164.60 is: 246.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.20 : 288.30 = 164.60 : x
  2. Step 2: Convert to fraction form
    192.20/288.30 = 164.60/x
  3. Step 3: Cross multiply
    192.20x = 288.30 × 164.60
  4. Step 4: Simplify right side
    192.20x = 47,454.18
  5. Step 5: Solve for x
    x = 47,454.18/192.20
  6. Step 6: Final answer
    x = 246.90

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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.