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Finding the Fourth Proportional to 164.01, 246 and 82.78

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Solution

The fourth proportional to 164.01, 246 and 82.78 is: 124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.01 : 246 = 82.78 : x
  2. Step 2: Convert to fraction form
    164.01/246 = 82.78/x
  3. Step 3: Cross multiply
    164.01x = 246 × 82.78
  4. Step 4: Simplify right side
    164.01x = 20,363.88
  5. Step 5: Solve for x
    x = 20,363.88/164.01
  6. Step 6: Final answer
    x = 124.16

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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.