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Finding the Fourth Proportional to 351.22, 484.57 and 203.80

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Solution

The fourth proportional to 351.22, 484.57 and 203.80 is: 281.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.22 : 484.57 = 203.80 : x
  2. Step 2: Convert to fraction form
    351.22/484.57 = 203.80/x
  3. Step 3: Cross multiply
    351.22x = 484.57 × 203.80
  4. Step 4: Simplify right side
    351.22x = 98,754.35
  5. Step 5: Solve for x
    x = 98,754.35/351.22
  6. Step 6: Final answer
    x = 281.18

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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.