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Finding the Fourth Proportional to 272.85, 409.31 and 87.73

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Solution

The fourth proportional to 272.85, 409.31 and 87.73 is: 131.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.85 : 409.31 = 87.73 : x
  2. Step 2: Convert to fraction form
    272.85/409.31 = 87.73/x
  3. Step 3: Cross multiply
    272.85x = 409.31 × 87.73
  4. Step 4: Simplify right side
    272.85x = 35,908.77
  5. Step 5: Solve for x
    x = 35,908.77/272.85
  6. Step 6: Final answer
    x = 131.61

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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.