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Finding the Fourth Proportional to 277.27, 382.86 and 276.66

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Solution

The fourth proportional to 277.27, 382.86 and 276.66 is: 382.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.27 : 382.86 = 276.66 : x
  2. Step 2: Convert to fraction form
    277.27/382.86 = 276.66/x
  3. Step 3: Cross multiply
    277.27x = 382.86 × 276.66
  4. Step 4: Simplify right side
    277.27x = 105,922.05
  5. Step 5: Solve for x
    x = 105,922.05/277.27
  6. Step 6: Final answer
    x = 382.02

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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.