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Finding the Fourth Proportional to 349.24, 523.34 and 257.20

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Solution

The fourth proportional to 349.24, 523.34 and 257.20 is: 385.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.24 : 523.34 = 257.20 : x
  2. Step 2: Convert to fraction form
    349.24/523.34 = 257.20/x
  3. Step 3: Cross multiply
    349.24x = 523.34 × 257.20
  4. Step 4: Simplify right side
    349.24x = 134,603.05
  5. Step 5: Solve for x
    x = 134,603.05/349.24
  6. Step 6: Final answer
    x = 385.42

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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.