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Finding the Fourth Proportional to 426.75, 640.73 and 263.94

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Solution

The fourth proportional to 426.75, 640.73 and 263.94 is: 396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.75 : 640.73 = 263.94 : x
  2. Step 2: Convert to fraction form
    426.75/640.73 = 263.94/x
  3. Step 3: Cross multiply
    426.75x = 640.73 × 263.94
  4. Step 4: Simplify right side
    426.75x = 169,114.28
  5. Step 5: Solve for x
    x = 169,114.28/426.75
  6. Step 6: Final answer
    x = 396.28

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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.