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Finding the Fourth Proportional to 313.41, 429.81 and 300.27

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Solution

The fourth proportional to 313.41, 429.81 and 300.27 is: 411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.41 : 429.81 = 300.27 : x
  2. Step 2: Convert to fraction form
    313.41/429.81 = 300.27/x
  3. Step 3: Cross multiply
    313.41x = 429.81 × 300.27
  4. Step 4: Simplify right side
    313.41x = 129,059.05
  5. Step 5: Solve for x
    x = 129,059.05/313.41
  6. Step 6: Final answer
    x = 411.79

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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.