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Finding the Fourth Proportional to 277.12, 382.08 and 199.36

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Solution

The fourth proportional to 277.12, 382.08 and 199.36 is: 274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.12 : 382.08 = 199.36 : x
  2. Step 2: Convert to fraction form
    277.12/382.08 = 199.36/x
  3. Step 3: Cross multiply
    277.12x = 382.08 × 199.36
  4. Step 4: Simplify right side
    277.12x = 76,171.47
  5. Step 5: Solve for x
    x = 76,171.47/277.12
  6. Step 6: Final answer
    x = 274.87

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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.