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Finding the Fourth Proportional to 272.94, 409.82 and 170.87

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Solution

The fourth proportional to 272.94, 409.82 and 170.87 is: 256.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.94 : 409.82 = 170.87 : x
  2. Step 2: Convert to fraction form
    272.94/409.82 = 170.87/x
  3. Step 3: Cross multiply
    272.94x = 409.82 × 170.87
  4. Step 4: Simplify right side
    272.94x = 70,025.94
  5. Step 5: Solve for x
    x = 70,025.94/272.94
  6. Step 6: Final answer
    x = 256.56

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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.