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Finding the Fourth Proportional to 203.45, 280.94 and 138.11

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Solution

The fourth proportional to 203.45, 280.94 and 138.11 is: 190.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.45 : 280.94 = 138.11 : x
  2. Step 2: Convert to fraction form
    203.45/280.94 = 138.11/x
  3. Step 3: Cross multiply
    203.45x = 280.94 × 138.11
  4. Step 4: Simplify right side
    203.45x = 38,798.53
  5. Step 5: Solve for x
    x = 38,798.53/203.45
  6. Step 6: Final answer
    x = 190.71

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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.