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Finding the Fourth Proportional to 456.44, 685.02 and 200.12

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Solution

The fourth proportional to 456.44, 685.02 and 200.12 is: 300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.44 : 685.02 = 200.12 : x
  2. Step 2: Convert to fraction form
    456.44/685.02 = 200.12/x
  3. Step 3: Cross multiply
    456.44x = 685.02 × 200.12
  4. Step 4: Simplify right side
    456.44x = 137,086.20
  5. Step 5: Solve for x
    x = 137,086.20/456.44
  6. Step 6: Final answer
    x = 300.34

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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.