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Finding the Fourth Proportional to 381.21, 573.09 and 313.26

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Solution

The fourth proportional to 381.21, 573.09 and 313.26 is: 470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.21 : 573.09 = 313.26 : x
  2. Step 2: Convert to fraction form
    381.21/573.09 = 313.26/x
  3. Step 3: Cross multiply
    381.21x = 573.09 × 313.26
  4. Step 4: Simplify right side
    381.21x = 179,526.17
  5. Step 5: Solve for x
    x = 179,526.17/381.21
  6. Step 6: Final answer
    x = 470.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.