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Finding the Fourth Proportional to 366.55, 505.81 and 200.76

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Solution

The fourth proportional to 366.55, 505.81 and 200.76 is: 277.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.55 : 505.81 = 200.76 : x
  2. Step 2: Convert to fraction form
    366.55/505.81 = 200.76/x
  3. Step 3: Cross multiply
    366.55x = 505.81 × 200.76
  4. Step 4: Simplify right side
    366.55x = 101,544.77
  5. Step 5: Solve for x
    x = 101,544.77/366.55
  6. Step 6: Final answer
    x = 277.03

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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.