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Finding the Fourth Proportional to 463.87, 640.09 and 277.33

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Solution

The fourth proportional to 463.87, 640.09 and 277.33 is: 382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.87 : 640.09 = 277.33 : x
  2. Step 2: Convert to fraction form
    463.87/640.09 = 277.33/x
  3. Step 3: Cross multiply
    463.87x = 640.09 × 277.33
  4. Step 4: Simplify right side
    463.87x = 177,511.57
  5. Step 5: Solve for x
    x = 177,511.57/463.87
  6. Step 6: Final answer
    x = 382.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.