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Finding the Fourth Proportional to 202.80, 280.12 and 129.36

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Solution

The fourth proportional to 202.80, 280.12 and 129.36 is: 178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.80 : 280.12 = 129.36 : x
  2. Step 2: Convert to fraction form
    202.80/280.12 = 129.36/x
  3. Step 3: Cross multiply
    202.80x = 280.12 × 129.36
  4. Step 4: Simplify right side
    202.80x = 36,236.32
  5. Step 5: Solve for x
    x = 36,236.32/202.80
  6. Step 6: Final answer
    x = 178.68

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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.