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Finding the Fourth Proportional to 202.80, 280.20 and 190.62

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Solution

The fourth proportional to 202.80, 280.20 and 190.62 is: 263.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.80 : 280.20 = 190.62 : x
  2. Step 2: Convert to fraction form
    202.80/280.20 = 190.62/x
  3. Step 3: Cross multiply
    202.80x = 280.20 × 190.62
  4. Step 4: Simplify right side
    202.80x = 53,411.72
  5. Step 5: Solve for x
    x = 53,411.72/202.80
  6. Step 6: Final answer
    x = 263.37

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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.