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Finding the Fourth Proportional to 355.80, 491 and 200.55

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Solution

The fourth proportional to 355.80, 491 and 200.55 is: 276.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.80 : 491 = 200.55 : x
  2. Step 2: Convert to fraction form
    355.80/491 = 200.55/x
  3. Step 3: Cross multiply
    355.80x = 491 × 200.55
  4. Step 4: Simplify right side
    355.80x = 98,470.05
  5. Step 5: Solve for x
    x = 98,470.05/355.80
  6. Step 6: Final answer
    x = 276.76

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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.