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Finding the Fourth Proportional to 203.52, 280.56 and 164.64

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Solution

The fourth proportional to 203.52, 280.56 and 164.64 is: 226.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.52 : 280.56 = 164.64 : x
  2. Step 2: Convert to fraction form
    203.52/280.56 = 164.64/x
  3. Step 3: Cross multiply
    203.52x = 280.56 × 164.64
  4. Step 4: Simplify right side
    203.52x = 46,191.40
  5. Step 5: Solve for x
    x = 46,191.40/203.52
  6. Step 6: Final answer
    x = 226.96

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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.