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Finding the Fourth Proportional to 272.43, 407.84 and 180.90

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Solution

The fourth proportional to 272.43, 407.84 and 180.90 is: 270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.43 : 407.84 = 180.90 : x
  2. Step 2: Convert to fraction form
    272.43/407.84 = 180.90/x
  3. Step 3: Cross multiply
    272.43x = 407.84 × 180.90
  4. Step 4: Simplify right side
    272.43x = 73,777.35
  5. Step 5: Solve for x
    x = 73,777.35/272.43
  6. Step 6: Final answer
    x = 270.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.