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Finding the Fourth Proportional to 380.01, 523.96 and 323.99

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Solution

The fourth proportional to 380.01, 523.96 and 323.99 is: 446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.01 : 523.96 = 323.99 : x
  2. Step 2: Convert to fraction form
    380.01/523.96 = 323.99/x
  3. Step 3: Cross multiply
    380.01x = 523.96 × 323.99
  4. Step 4: Simplify right side
    380.01x = 169,757.80
  5. Step 5: Solve for x
    x = 169,757.80/380.01
  6. Step 6: Final answer
    x = 446.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.