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Finding the Fourth Proportional to 203.62, 280.95 and 138.16

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Solution

The fourth proportional to 203.62, 280.95 and 138.16 is: 190.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.62 : 280.95 = 138.16 : x
  2. Step 2: Convert to fraction form
    203.62/280.95 = 138.16/x
  3. Step 3: Cross multiply
    203.62x = 280.95 × 138.16
  4. Step 4: Simplify right side
    203.62x = 38,816.05
  5. Step 5: Solve for x
    x = 38,816.05/203.62
  6. Step 6: Final answer
    x = 190.63

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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.