Home / 203.10-280.25-161.75

Finding the Fourth Proportional to 203.10, 280.25 and 161.75

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Solution

The fourth proportional to 203.10, 280.25 and 161.75 is: 223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.10 : 280.25 = 161.75 : x
  2. Step 2: Convert to fraction form
    203.10/280.25 = 161.75/x
  3. Step 3: Cross multiply
    203.10x = 280.25 × 161.75
  4. Step 4: Simplify right side
    203.10x = 45,328.23
  5. Step 5: Solve for x
    x = 45,328.23/203.10
  6. Step 6: Final answer
    x = 223.18

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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.