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Finding the Fourth Proportional to 272.78, 410.55 and 204.67

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Solution

The fourth proportional to 272.78, 410.55 and 204.67 is: 308.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.78 : 410.55 = 204.67 : x
  2. Step 2: Convert to fraction form
    272.78/410.55 = 204.67/x
  3. Step 3: Cross multiply
    272.78x = 410.55 × 204.67
  4. Step 4: Simplify right side
    272.78x = 84,027.27
  5. Step 5: Solve for x
    x = 84,027.27/272.78
  6. Step 6: Final answer
    x = 308.04

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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.