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Finding the Fourth Proportional to 463.74, 639.97 and 277.20

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Solution

The fourth proportional to 463.74, 639.97 and 277.20 is: 382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.74 : 639.97 = 277.20 : x
  2. Step 2: Convert to fraction form
    463.74/639.97 = 277.20/x
  3. Step 3: Cross multiply
    463.74x = 639.97 × 277.20
  4. Step 4: Simplify right side
    463.74x = 177,399.68
  5. Step 5: Solve for x
    x = 177,399.68/463.74
  6. Step 6: Final answer
    x = 382.54

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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.