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Finding the Fourth Proportional to 272.96, 409.76 and 209.28

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Solution

The fourth proportional to 272.96, 409.76 and 209.28 is: 314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.96 : 409.76 = 209.28 : x
  2. Step 2: Convert to fraction form
    272.96/409.76 = 209.28/x
  3. Step 3: Cross multiply
    272.96x = 409.76 × 209.28
  4. Step 4: Simplify right side
    272.96x = 85,754.57
  5. Step 5: Solve for x
    x = 85,754.57/272.96
  6. Step 6: Final answer
    x = 314.17

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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.