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Finding the Fourth Proportional to 349, 523.84 and 257.44

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Solution

The fourth proportional to 349, 523.84 and 257.44 is: 386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    349 : 523.84 = 257.44 : x
  2. Step 2: Convert to fraction form
    349/523.84 = 257.44/x
  3. Step 3: Cross multiply
    349x = 523.84 × 257.44
  4. Step 4: Simplify right side
    349x = 134,857.37
  5. Step 5: Solve for x
    x = 134,857.37/349
  6. Step 6: Final answer
    x = 386.41

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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.