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Finding the Fourth Proportional to 380.46, 523.05 and 367.50

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Solution

The fourth proportional to 380.46, 523.05 and 367.50 is: 505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.46 : 523.05 = 367.50 : x
  2. Step 2: Convert to fraction form
    380.46/523.05 = 367.50/x
  3. Step 3: Cross multiply
    380.46x = 523.05 × 367.50
  4. Step 4: Simplify right side
    380.46x = 192,220.88
  5. Step 5: Solve for x
    x = 192,220.88/380.46
  6. Step 6: Final answer
    x = 505.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.