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Finding the Fourth Proportional to 426.63, 639.44 and 182.64

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Solution

The fourth proportional to 426.63, 639.44 and 182.64 is: 273.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.63 : 639.44 = 182.64 : x
  2. Step 2: Convert to fraction form
    426.63/639.44 = 182.64/x
  3. Step 3: Cross multiply
    426.63x = 639.44 × 182.64
  4. Step 4: Simplify right side
    426.63x = 116,787.32
  5. Step 5: Solve for x
    x = 116,787.32/426.63
  6. Step 6: Final answer
    x = 273.74

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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.