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Finding the Fourth Proportional to 311.24, 464.34 and 300.03

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Solution

The fourth proportional to 311.24, 464.34 and 300.03 is: 447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.24 : 464.34 = 300.03 : x
  2. Step 2: Convert to fraction form
    311.24/464.34 = 300.03/x
  3. Step 3: Cross multiply
    311.24x = 464.34 × 300.03
  4. Step 4: Simplify right side
    311.24x = 139,315.93
  5. Step 5: Solve for x
    x = 139,315.93/311.24
  6. Step 6: Final answer
    x = 447.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.