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Finding the Fourth Proportional to 311.27, 428.57 and 295.88

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Solution

The fourth proportional to 311.27, 428.57 and 295.88 is: 407.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.27 : 428.57 = 295.88 : x
  2. Step 2: Convert to fraction form
    311.27/428.57 = 295.88/x
  3. Step 3: Cross multiply
    311.27x = 428.57 × 295.88
  4. Step 4: Simplify right side
    311.27x = 126,805.29
  5. Step 5: Solve for x
    x = 126,805.29/311.27
  6. Step 6: Final answer
    x = 407.38

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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.