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Finding the Fourth Proportional to 208.54, 285.70 and 200.75

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Solution

The fourth proportional to 208.54, 285.70 and 200.75 is: 275.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.54 : 285.70 = 200.75 : x
  2. Step 2: Convert to fraction form
    208.54/285.70 = 200.75/x
  3. Step 3: Cross multiply
    208.54x = 285.70 × 200.75
  4. Step 4: Simplify right side
    208.54x = 57,354.28
  5. Step 5: Solve for x
    x = 57,354.28/208.54
  6. Step 6: Final answer
    x = 275.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.