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Finding the Fourth Proportional to 375.94, 517.80 and 323.38

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Solution

The fourth proportional to 375.94, 517.80 and 323.38 is: 445.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.94 : 517.80 = 323.38 : x
  2. Step 2: Convert to fraction form
    375.94/517.80 = 323.38/x
  3. Step 3: Cross multiply
    375.94x = 517.80 × 323.38
  4. Step 4: Simplify right side
    375.94x = 167,446.16
  5. Step 5: Solve for x
    x = 167,446.16/375.94
  6. Step 6: Final answer
    x = 445.41

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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.