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Finding the Fourth Proportional to 272.74, 409.07 and 80.36

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Solution

The fourth proportional to 272.74, 409.07 and 80.36 is: 120.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.74 : 409.07 = 80.36 : x
  2. Step 2: Convert to fraction form
    272.74/409.07 = 80.36/x
  3. Step 3: Cross multiply
    272.74x = 409.07 × 80.36
  4. Step 4: Simplify right side
    272.74x = 32,872.87
  5. Step 5: Solve for x
    x = 32,872.87/272.74
  6. Step 6: Final answer
    x = 120.53

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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.