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Finding the Fourth Proportional to 272.86, 410.78 and 250.54

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Solution

The fourth proportional to 272.86, 410.78 and 250.54 is: 377.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.86 : 410.78 = 250.54 : x
  2. Step 2: Convert to fraction form
    272.86/410.78 = 250.54/x
  3. Step 3: Cross multiply
    272.86x = 410.78 × 250.54
  4. Step 4: Simplify right side
    272.86x = 102,916.82
  5. Step 5: Solve for x
    x = 102,916.82/272.86
  6. Step 6: Final answer
    x = 377.18

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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.