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Finding the Fourth Proportional to 463.94, 640.22 and 277.54

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Solution

The fourth proportional to 463.94, 640.22 and 277.54 is: 382.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.94 : 640.22 = 277.54 : x
  2. Step 2: Convert to fraction form
    463.94/640.22 = 277.54/x
  3. Step 3: Cross multiply
    463.94x = 640.22 × 277.54
  4. Step 4: Simplify right side
    463.94x = 177,686.66
  5. Step 5: Solve for x
    x = 177,686.66/463.94
  6. Step 6: Final answer
    x = 382.99

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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.