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Finding the Fourth Proportional to 202.35, 280.47 and 198.71

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Solution

The fourth proportional to 202.35, 280.47 and 198.71 is: 275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.35 : 280.47 = 198.71 : x
  2. Step 2: Convert to fraction form
    202.35/280.47 = 198.71/x
  3. Step 3: Cross multiply
    202.35x = 280.47 × 198.71
  4. Step 4: Simplify right side
    202.35x = 55,730.79
  5. Step 5: Solve for x
    x = 55,730.79/202.35
  6. Step 6: Final answer
    x = 275.42

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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.