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Finding the Fourth Proportional to 203.72, 280.57 and 189.37

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Solution

The fourth proportional to 203.72, 280.57 and 189.37 is: 260.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.72 : 280.57 = 189.37 : x
  2. Step 2: Convert to fraction form
    203.72/280.57 = 189.37/x
  3. Step 3: Cross multiply
    203.72x = 280.57 × 189.37
  4. Step 4: Simplify right side
    203.72x = 53,131.77
  5. Step 5: Solve for x
    x = 53,131.77/203.72
  6. Step 6: Final answer
    x = 260.81

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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.