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Finding the Fourth Proportional to 203.15, 280.25 and 144.14

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Solution

The fourth proportional to 203.15, 280.25 and 144.14 is: 198.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.15 : 280.25 = 144.14 : x
  2. Step 2: Convert to fraction form
    203.15/280.25 = 144.14/x
  3. Step 3: Cross multiply
    203.15x = 280.25 × 144.14
  4. Step 4: Simplify right side
    203.15x = 40,393.83
  5. Step 5: Solve for x
    x = 40,393.83/203.15
  6. Step 6: Final answer
    x = 198.84

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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.