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Finding the Fourth Proportional to 203.16, 280.56 and 161.64

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Solution

The fourth proportional to 203.16, 280.56 and 161.64 is: 223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.16 : 280.56 = 161.64 : x
  2. Step 2: Convert to fraction form
    203.16/280.56 = 161.64/x
  3. Step 3: Cross multiply
    203.16x = 280.56 × 161.64
  4. Step 4: Simplify right side
    203.16x = 45,349.72
  5. Step 5: Solve for x
    x = 45,349.72/203.16
  6. Step 6: Final answer
    x = 223.22

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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.