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Finding the Fourth Proportional to 202.80, 303.92 and 141.78

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Solution

The fourth proportional to 202.80, 303.92 and 141.78 is: 212.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.80 : 303.92 = 141.78 : x
  2. Step 2: Convert to fraction form
    202.80/303.92 = 141.78/x
  3. Step 3: Cross multiply
    202.80x = 303.92 × 141.78
  4. Step 4: Simplify right side
    202.80x = 43,089.78
  5. Step 5: Solve for x
    x = 43,089.78/202.80
  6. Step 6: Final answer
    x = 212.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.