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Finding the Fourth Proportional to 381.80, 529.10 and 377.30

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Solution

The fourth proportional to 381.80, 529.10 and 377.30 is: 522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.80 : 529.10 = 377.30 : x
  2. Step 2: Convert to fraction form
    381.80/529.10 = 377.30/x
  3. Step 3: Cross multiply
    381.80x = 529.10 × 377.30
  4. Step 4: Simplify right side
    381.80x = 199,629.43
  5. Step 5: Solve for x
    x = 199,629.43/381.80
  6. Step 6: Final answer
    x = 522.86

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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.