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Finding the Fourth Proportional to 202.85, 280.02 and 182.09

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Solution

The fourth proportional to 202.85, 280.02 and 182.09 is: 251.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.85 : 280.02 = 182.09 : x
  2. Step 2: Convert to fraction form
    202.85/280.02 = 182.09/x
  3. Step 3: Cross multiply
    202.85x = 280.02 × 182.09
  4. Step 4: Simplify right side
    202.85x = 50,988.84
  5. Step 5: Solve for x
    x = 50,988.84/202.85
  6. Step 6: Final answer
    x = 251.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.