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Finding the Fourth Proportional to 366.14, 505.27 and 200.35

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Solution

The fourth proportional to 366.14, 505.27 and 200.35 is: 276.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.14 : 505.27 = 200.35 : x
  2. Step 2: Convert to fraction form
    366.14/505.27 = 200.35/x
  3. Step 3: Cross multiply
    366.14x = 505.27 × 200.35
  4. Step 4: Simplify right side
    366.14x = 101,231.73
  5. Step 5: Solve for x
    x = 101,231.73/366.14
  6. Step 6: Final answer
    x = 276.48

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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.