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Finding the Fourth Proportional to 203.64, 280.85 and 138.23

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Solution

The fourth proportional to 203.64, 280.85 and 138.23 is: 190.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.64 : 280.85 = 138.23 : x
  2. Step 2: Convert to fraction form
    203.64/280.85 = 138.23/x
  3. Step 3: Cross multiply
    203.64x = 280.85 × 138.23
  4. Step 4: Simplify right side
    203.64x = 38,821.91
  5. Step 5: Solve for x
    x = 38,821.91/203.64
  6. Step 6: Final answer
    x = 190.64

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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.