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Finding the Fourth Proportional to 277.96, 383.94 and 208.34

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Solution

The fourth proportional to 277.96, 383.94 and 208.34 is: 287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.96 : 383.94 = 208.34 : x
  2. Step 2: Convert to fraction form
    277.96/383.94 = 208.34/x
  3. Step 3: Cross multiply
    277.96x = 383.94 × 208.34
  4. Step 4: Simplify right side
    277.96x = 79,990.06
  5. Step 5: Solve for x
    x = 79,990.06/277.96
  6. Step 6: Final answer
    x = 287.78

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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.