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Finding the Fourth Proportional to 272.80, 410.68 and 208.96

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Solution

The fourth proportional to 272.80, 410.68 and 208.96 is: 314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.80 : 410.68 = 208.96 : x
  2. Step 2: Convert to fraction form
    272.80/410.68 = 208.96/x
  3. Step 3: Cross multiply
    272.80x = 410.68 × 208.96
  4. Step 4: Simplify right side
    272.80x = 85,815.69
  5. Step 5: Solve for x
    x = 85,815.69/272.80
  6. Step 6: Final answer
    x = 314.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.