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Finding the Fourth Proportional to 164.42, 246.46 and 82.03

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Solution

The fourth proportional to 164.42, 246.46 and 82.03 is: 122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.42 : 246.46 = 82.03 : x
  2. Step 2: Convert to fraction form
    164.42/246.46 = 82.03/x
  3. Step 3: Cross multiply
    164.42x = 246.46 × 82.03
  4. Step 4: Simplify right side
    164.42x = 20,217.11
  5. Step 5: Solve for x
    x = 20,217.11/164.42
  6. Step 6: Final answer
    x = 122.96

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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.