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Finding the Fourth Proportional to 272.76, 409.48 and 209.40

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Solution

The fourth proportional to 272.76, 409.48 and 209.40 is: 314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.76 : 409.48 = 209.40 : x
  2. Step 2: Convert to fraction form
    272.76/409.48 = 209.40/x
  3. Step 3: Cross multiply
    272.76x = 409.48 × 209.40
  4. Step 4: Simplify right side
    272.76x = 85,745.11
  5. Step 5: Solve for x
    x = 85,745.11/272.76
  6. Step 6: Final answer
    x = 314.36

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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.