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Finding the Fourth Proportional to 311.57, 428.99 and 264.83

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Solution

The fourth proportional to 311.57, 428.99 and 264.83 is: 364.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.57 : 428.99 = 264.83 : x
  2. Step 2: Convert to fraction form
    311.57/428.99 = 264.83/x
  3. Step 3: Cross multiply
    311.57x = 428.99 × 264.83
  4. Step 4: Simplify right side
    311.57x = 113,609.17
  5. Step 5: Solve for x
    x = 113,609.17/311.57
  6. Step 6: Final answer
    x = 364.64

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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.