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Finding the Fourth Proportional to 351.14, 523.06 and 349.31

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Solution

The fourth proportional to 351.14, 523.06 and 349.31 is: 520.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.14 : 523.06 = 349.31 : x
  2. Step 2: Convert to fraction form
    351.14/523.06 = 349.31/x
  3. Step 3: Cross multiply
    351.14x = 523.06 × 349.31
  4. Step 4: Simplify right side
    351.14x = 182,710.52
  5. Step 5: Solve for x
    x = 182,710.52/351.14
  6. Step 6: Final answer
    x = 520.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.