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Finding the Fourth Proportional to 351.90, 524.97 and 327.03

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Solution

The fourth proportional to 351.90, 524.97 and 327.03 is: 487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.90 : 524.97 = 327.03 : x
  2. Step 2: Convert to fraction form
    351.90/524.97 = 327.03/x
  3. Step 3: Cross multiply
    351.90x = 524.97 × 327.03
  4. Step 4: Simplify right side
    351.90x = 171,680.94
  5. Step 5: Solve for x
    x = 171,680.94/351.90
  6. Step 6: Final answer
    x = 487.87

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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.