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Finding the Fourth Proportional to 277, 382.02 and 250.60

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Solution

The fourth proportional to 277, 382.02 and 250.60 is: 345.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277 : 382.02 = 250.60 : x
  2. Step 2: Convert to fraction form
    277/382.02 = 250.60/x
  3. Step 3: Cross multiply
    277x = 382.02 × 250.60
  4. Step 4: Simplify right side
    277x = 95,734.21
  5. Step 5: Solve for x
    x = 95,734.21/277
  6. Step 6: Final answer
    x = 345.61

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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.