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Finding the Fourth Proportional to 351.30, 484.82 and 196.06

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Solution

The fourth proportional to 351.30, 484.82 and 196.06 is: 270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.30 : 484.82 = 196.06 : x
  2. Step 2: Convert to fraction form
    351.30/484.82 = 196.06/x
  3. Step 3: Cross multiply
    351.30x = 484.82 × 196.06
  4. Step 4: Simplify right side
    351.30x = 95,053.81
  5. Step 5: Solve for x
    x = 95,053.81/351.30
  6. Step 6: Final answer
    x = 270.58

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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.