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Finding the Fourth Proportional to 184.09, 274.31 and 164.95

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Solution

The fourth proportional to 184.09, 274.31 and 164.95 is: 245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.09 : 274.31 = 164.95 : x
  2. Step 2: Convert to fraction form
    184.09/274.31 = 164.95/x
  3. Step 3: Cross multiply
    184.09x = 274.31 × 164.95
  4. Step 4: Simplify right side
    184.09x = 45,247.43
  5. Step 5: Solve for x
    x = 45,247.43/184.09
  6. Step 6: Final answer
    x = 245.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.