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Finding the Fourth Proportional to 311.89, 468.72 and 300.39

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Solution

The fourth proportional to 311.89, 468.72 and 300.39 is: 451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.89 : 468.72 = 300.39 : x
  2. Step 2: Convert to fraction form
    311.89/468.72 = 300.39/x
  3. Step 3: Cross multiply
    311.89x = 468.72 × 300.39
  4. Step 4: Simplify right side
    311.89x = 140,798.80
  5. Step 5: Solve for x
    x = 140,798.80/311.89
  6. Step 6: Final answer
    x = 451.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.