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Finding the Fourth Proportional to 203.21, 280.64 and 166.49

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Solution

The fourth proportional to 203.21, 280.64 and 166.49 is: 229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.21 : 280.64 = 166.49 : x
  2. Step 2: Convert to fraction form
    203.21/280.64 = 166.49/x
  3. Step 3: Cross multiply
    203.21x = 280.64 × 166.49
  4. Step 4: Simplify right side
    203.21x = 46,722.92
  5. Step 5: Solve for x
    x = 46,722.92/203.21
  6. Step 6: Final answer
    x = 229.92

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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.