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Finding the Fourth Proportional to 380.20, 523.74 and 302.44

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Solution

The fourth proportional to 380.20, 523.74 and 302.44 is: 416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.20 : 523.74 = 302.44 : x
  2. Step 2: Convert to fraction form
    380.20/523.74 = 302.44/x
  3. Step 3: Cross multiply
    380.20x = 523.74 × 302.44
  4. Step 4: Simplify right side
    380.20x = 158,399.93
  5. Step 5: Solve for x
    x = 158,399.93/380.20
  6. Step 6: Final answer
    x = 416.62

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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.