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Finding the Fourth Proportional to 277.80, 382.78 and 199.05

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Solution

The fourth proportional to 277.80, 382.78 and 199.05 is: 274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.80 : 382.78 = 199.05 : x
  2. Step 2: Convert to fraction form
    277.80/382.78 = 199.05/x
  3. Step 3: Cross multiply
    277.80x = 382.78 × 199.05
  4. Step 4: Simplify right side
    277.80x = 76,192.36
  5. Step 5: Solve for x
    x = 76,192.36/277.80
  6. Step 6: Final answer
    x = 274.27

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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.