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Finding the Fourth Proportional to 202.80, 280.12 and 144.84

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Solution

The fourth proportional to 202.80, 280.12 and 144.84 is: 200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.80 : 280.12 = 144.84 : x
  2. Step 2: Convert to fraction form
    202.80/280.12 = 144.84/x
  3. Step 3: Cross multiply
    202.80x = 280.12 × 144.84
  4. Step 4: Simplify right side
    202.80x = 40,572.58
  5. Step 5: Solve for x
    x = 40,572.58/202.80
  6. Step 6: Final answer
    x = 200.06

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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.