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Finding the Fourth Proportional to 456.88, 685.80 and 200.56

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Solution

The fourth proportional to 456.88, 685.80 and 200.56 is: 301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.88 : 685.80 = 200.56 : x
  2. Step 2: Convert to fraction form
    456.88/685.80 = 200.56/x
  3. Step 3: Cross multiply
    456.88x = 685.80 × 200.56
  4. Step 4: Simplify right side
    456.88x = 137,544.05
  5. Step 5: Solve for x
    x = 137,544.05/456.88
  6. Step 6: Final answer
    x = 301.05

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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.