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Finding the Fourth Proportional to 203.52, 279 and 200.68

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Solution

The fourth proportional to 203.52, 279 and 200.68 is: 275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.52 : 279 = 200.68 : x
  2. Step 2: Convert to fraction form
    203.52/279 = 200.68/x
  3. Step 3: Cross multiply
    203.52x = 279 × 200.68
  4. Step 4: Simplify right side
    203.52x = 55,989.72
  5. Step 5: Solve for x
    x = 55,989.72/203.52
  6. Step 6: Final answer
    x = 275.11

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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.