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Finding the Fourth Proportional to 375.21, 516.73 and 322.73

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Solution

The fourth proportional to 375.21, 516.73 and 322.73 is: 444.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.21 : 516.73 = 322.73 : x
  2. Step 2: Convert to fraction form
    375.21/516.73 = 322.73/x
  3. Step 3: Cross multiply
    375.21x = 516.73 × 322.73
  4. Step 4: Simplify right side
    375.21x = 166,766.33
  5. Step 5: Solve for x
    x = 166,766.33/375.21
  6. Step 6: Final answer
    x = 444.46

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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.