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Finding the Fourth Proportional to 164.28, 246.07 and 109.25

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Solution

The fourth proportional to 164.28, 246.07 and 109.25 is: 163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.28 : 246.07 = 109.25 : x
  2. Step 2: Convert to fraction form
    164.28/246.07 = 109.25/x
  3. Step 3: Cross multiply
    164.28x = 246.07 × 109.25
  4. Step 4: Simplify right side
    164.28x = 26,882.98
  5. Step 5: Solve for x
    x = 26,882.98/164.28
  6. Step 6: Final answer
    x = 163.64

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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.