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Finding the Fourth Proportional to 375.67, 517.94 and 257.43

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Solution

The fourth proportional to 375.67, 517.94 and 257.43 is: 354.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.67 : 517.94 = 257.43 : x
  2. Step 2: Convert to fraction form
    375.67/517.94 = 257.43/x
  3. Step 3: Cross multiply
    375.67x = 517.94 × 257.43
  4. Step 4: Simplify right side
    375.67x = 133,333.06
  5. Step 5: Solve for x
    x = 133,333.06/375.67
  6. Step 6: Final answer
    x = 354.92

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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.