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Finding the Fourth Proportional to 333.23, 459.94 and 200.53

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Solution

The fourth proportional to 333.23, 459.94 and 200.53 is: 276.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.23 : 459.94 = 200.53 : x
  2. Step 2: Convert to fraction form
    333.23/459.94 = 200.53/x
  3. Step 3: Cross multiply
    333.23x = 459.94 × 200.53
  4. Step 4: Simplify right side
    333.23x = 92,231.77
  5. Step 5: Solve for x
    x = 92,231.77/333.23
  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.