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Finding the Fourth Proportional to 204.84, 280.14 and 201.66

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Solution

The fourth proportional to 204.84, 280.14 and 201.66 is: 275.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.84 : 280.14 = 201.66 : x
  2. Step 2: Convert to fraction form
    204.84/280.14 = 201.66/x
  3. Step 3: Cross multiply
    204.84x = 280.14 × 201.66
  4. Step 4: Simplify right side
    204.84x = 56,493.03
  5. Step 5: Solve for x
    x = 56,493.03/204.84
  6. Step 6: Final answer
    x = 275.79

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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.