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Finding the Fourth Proportional to 375.34, 516.73 and 319.75

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Solution

The fourth proportional to 375.34, 516.73 and 319.75 is: 440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.34 : 516.73 = 319.75 : x
  2. Step 2: Convert to fraction form
    375.34/516.73 = 319.75/x
  3. Step 3: Cross multiply
    375.34x = 516.73 × 319.75
  4. Step 4: Simplify right side
    375.34x = 165,224.42
  5. Step 5: Solve for x
    x = 165,224.42/375.34
  6. Step 6: Final answer
    x = 440.21

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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.