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Finding the Fourth Proportional to 377.85, 523.84 and 364.48

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Solution

The fourth proportional to 377.85, 523.84 and 364.48 is: 505.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.85 : 523.84 = 364.48 : x
  2. Step 2: Convert to fraction form
    377.85/523.84 = 364.48/x
  3. Step 3: Cross multiply
    377.85x = 523.84 × 364.48
  4. Step 4: Simplify right side
    377.85x = 190,929.20
  5. Step 5: Solve for x
    x = 190,929.20/377.85
  6. Step 6: Final answer
    x = 505.31

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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.