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Finding the Fourth Proportional to 380.44, 523.86 and 366.52

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Solution

The fourth proportional to 380.44, 523.86 and 366.52 is: 504.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.44 : 523.86 = 366.52 : x
  2. Step 2: Convert to fraction form
    380.44/523.86 = 366.52/x
  3. Step 3: Cross multiply
    380.44x = 523.86 × 366.52
  4. Step 4: Simplify right side
    380.44x = 192,005.17
  5. Step 5: Solve for x
    x = 192,005.17/380.44
  6. Step 6: Final answer
    x = 504.69

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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.