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Finding the Fourth Proportional to 204.24, 280.34 and 181.20

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Solution

The fourth proportional to 204.24, 280.34 and 181.20 is: 248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.24 : 280.34 = 181.20 : x
  2. Step 2: Convert to fraction form
    204.24/280.34 = 181.20/x
  3. Step 3: Cross multiply
    204.24x = 280.34 × 181.20
  4. Step 4: Simplify right side
    204.24x = 50,797.61
  5. Step 5: Solve for x
    x = 50,797.61/204.24
  6. Step 6: Final answer
    x = 248.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.