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Finding the Fourth Proportional to 203.36, 280.80 and 164.48

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Solution

The fourth proportional to 203.36, 280.80 and 164.48 is: 227.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.36 : 280.80 = 164.48 : x
  2. Step 2: Convert to fraction form
    203.36/280.80 = 164.48/x
  3. Step 3: Cross multiply
    203.36x = 280.80 × 164.48
  4. Step 4: Simplify right side
    203.36x = 46,185.98
  5. Step 5: Solve for x
    x = 46,185.98/203.36
  6. Step 6: Final answer
    x = 227.11

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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.