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Finding the Fourth Proportional to 311.65, 427.38 and 295.85

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Solution

The fourth proportional to 311.65, 427.38 and 295.85 is: 405.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.65 : 427.38 = 295.85 : x
  2. Step 2: Convert to fraction form
    311.65/427.38 = 295.85/x
  3. Step 3: Cross multiply
    311.65x = 427.38 × 295.85
  4. Step 4: Simplify right side
    311.65x = 126,440.33
  5. Step 5: Solve for x
    x = 126,440.33/311.65
  6. Step 6: Final answer
    x = 405.72

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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.