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Finding the Fourth Proportional to 311.25, 427.94 and 277.75

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Solution

The fourth proportional to 311.25, 427.94 and 277.75 is: 381.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.25 : 427.94 = 277.75 : x
  2. Step 2: Convert to fraction form
    311.25/427.94 = 277.75/x
  3. Step 3: Cross multiply
    311.25x = 427.94 × 277.75
  4. Step 4: Simplify right side
    311.25x = 118,860.34
  5. Step 5: Solve for x
    x = 118,860.34/311.25
  6. Step 6: Final answer
    x = 381.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.