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Finding the Fourth Proportional to 202.28, 280.58 and 195

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Solution

The fourth proportional to 202.28, 280.58 and 195 is: 270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.28 : 280.58 = 195 : x
  2. Step 2: Convert to fraction form
    202.28/280.58 = 195/x
  3. Step 3: Cross multiply
    202.28x = 280.58 × 195
  4. Step 4: Simplify right side
    202.28x = 54,713.10
  5. Step 5: Solve for x
    x = 54,713.10/202.28
  6. Step 6: Final answer
    x = 270.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.