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Finding the Fourth Proportional to 203.96, 279.61 and 200.77

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Solution

The fourth proportional to 203.96, 279.61 and 200.77 is: 275.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.96 : 279.61 = 200.77 : x
  2. Step 2: Convert to fraction form
    203.96/279.61 = 200.77/x
  3. Step 3: Cross multiply
    203.96x = 279.61 × 200.77
  4. Step 4: Simplify right side
    203.96x = 56,137.30
  5. Step 5: Solve for x
    x = 56,137.30/203.96
  6. Step 6: Final answer
    x = 275.24

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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.