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Finding the Fourth Proportional to 203.73, 280.91 and 154.52

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Solution

The fourth proportional to 203.73, 280.91 and 154.52 is: 213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.73 : 280.91 = 154.52 : x
  2. Step 2: Convert to fraction form
    203.73/280.91 = 154.52/x
  3. Step 3: Cross multiply
    203.73x = 280.91 × 154.52
  4. Step 4: Simplify right side
    203.73x = 43,406.14
  5. Step 5: Solve for x
    x = 43,406.14/203.73
  6. Step 6: Final answer
    x = 213.06

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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.