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Finding the Fourth Proportional to 381.23, 525.86 and 319.37

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Solution

The fourth proportional to 381.23, 525.86 and 319.37 is: 440.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.23 : 525.86 = 319.37 : x
  2. Step 2: Convert to fraction form
    381.23/525.86 = 319.37/x
  3. Step 3: Cross multiply
    381.23x = 525.86 × 319.37
  4. Step 4: Simplify right side
    381.23x = 167,939.68
  5. Step 5: Solve for x
    x = 167,939.68/381.23
  6. Step 6: Final answer
    x = 440.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.