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Finding the Fourth Proportional to 351.40, 484.88 and 196.14

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Solution

The fourth proportional to 351.40, 484.88 and 196.14 is: 270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.40 : 484.88 = 196.14 : x
  2. Step 2: Convert to fraction form
    351.40/484.88 = 196.14/x
  3. Step 3: Cross multiply
    351.40x = 484.88 × 196.14
  4. Step 4: Simplify right side
    351.40x = 95,104.36
  5. Step 5: Solve for x
    x = 95,104.36/351.40
  6. Step 6: Final answer
    x = 270.64

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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.