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Finding the Fourth Proportional to 311.90, 433.86 and 305.96

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Solution

The fourth proportional to 311.90, 433.86 and 305.96 is: 425.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.90 : 433.86 = 305.96 : x
  2. Step 2: Convert to fraction form
    311.90/433.86 = 305.96/x
  3. Step 3: Cross multiply
    311.90x = 433.86 × 305.96
  4. Step 4: Simplify right side
    311.90x = 132,740.49
  5. Step 5: Solve for x
    x = 132,740.49/311.90
  6. Step 6: Final answer
    x = 425.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.