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Finding the Fourth Proportional to 377.35, 523.15 and 363.98

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Solution

The fourth proportional to 377.35, 523.15 and 363.98 is: 504.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.35 : 523.15 = 363.98 : x
  2. Step 2: Convert to fraction form
    377.35/523.15 = 363.98/x
  3. Step 3: Cross multiply
    377.35x = 523.15 × 363.98
  4. Step 4: Simplify right side
    377.35x = 190,415.23
  5. Step 5: Solve for x
    x = 190,415.23/377.35
  6. Step 6: Final answer
    x = 504.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.