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Finding the Fourth Proportional to 381.70, 523.82 and 357.40

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Solution

The fourth proportional to 381.70, 523.82 and 357.40 is: 490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.70 : 523.82 = 357.40 : x
  2. Step 2: Convert to fraction form
    381.70/523.82 = 357.40/x
  3. Step 3: Cross multiply
    381.70x = 523.82 × 357.40
  4. Step 4: Simplify right side
    381.70x = 187,213.27
  5. Step 5: Solve for x
    x = 187,213.27/381.70
  6. Step 6: Final answer
    x = 490.47

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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.