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Finding the Fourth Proportional to 633.37, 950.25 and 200.56

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Solution

The fourth proportional to 633.37, 950.25 and 200.56 is: 300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.37 : 950.25 = 200.56 : x
  2. Step 2: Convert to fraction form
    633.37/950.25 = 200.56/x
  3. Step 3: Cross multiply
    633.37x = 950.25 × 200.56
  4. Step 4: Simplify right side
    633.37x = 190,582.14
  5. Step 5: Solve for x
    x = 190,582.14/633.37
  6. Step 6: Final answer
    x = 300.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.