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Finding the Fourth Proportional to 355.80, 491.02 and 200.56

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Solution

The fourth proportional to 355.80, 491.02 and 200.56 is: 276.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.80 : 491.02 = 200.56 : x
  2. Step 2: Convert to fraction form
    355.80/491.02 = 200.56/x
  3. Step 3: Cross multiply
    355.80x = 491.02 × 200.56
  4. Step 4: Simplify right side
    355.80x = 98,478.97
  5. Step 5: Solve for x
    x = 98,478.97/355.80
  6. Step 6: Final answer
    x = 276.78

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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.