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Finding the Fourth Proportional to 311.37, 431.74 and 300.98

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Solution

The fourth proportional to 311.37, 431.74 and 300.98 is: 417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.37 : 431.74 = 300.98 : x
  2. Step 2: Convert to fraction form
    311.37/431.74 = 300.98/x
  3. Step 3: Cross multiply
    311.37x = 431.74 × 300.98
  4. Step 4: Simplify right side
    311.37x = 129,946.56
  5. Step 5: Solve for x
    x = 129,946.56/311.37
  6. Step 6: Final answer
    x = 417.34

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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.