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Finding the Fourth Proportional to 426.21, 639.39 and 182.91

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Solution

The fourth proportional to 426.21, 639.39 and 182.91 is: 274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.21 : 639.39 = 182.91 : x
  2. Step 2: Convert to fraction form
    426.21/639.39 = 182.91/x
  3. Step 3: Cross multiply
    426.21x = 639.39 × 182.91
  4. Step 4: Simplify right side
    426.21x = 116,950.31
  5. Step 5: Solve for x
    x = 116,950.31/426.21
  6. Step 6: Final answer
    x = 274.39

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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.