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Finding the Fourth Proportional to 381.65, 523.38 and 365.87

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Solution

The fourth proportional to 381.65, 523.38 and 365.87 is: 501.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.65 : 523.38 = 365.87 : x
  2. Step 2: Convert to fraction form
    381.65/523.38 = 365.87/x
  3. Step 3: Cross multiply
    381.65x = 523.38 × 365.87
  4. Step 4: Simplify right side
    381.65x = 191,486.42
  5. Step 5: Solve for x
    x = 191,486.42/381.65
  6. Step 6: Final answer
    x = 501.74

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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.