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Finding the Fourth Proportional to 272.59, 410.87 and 249.50

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Solution

The fourth proportional to 272.59, 410.87 and 249.50 is: 376.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.59 : 410.87 = 249.50 : x
  2. Step 2: Convert to fraction form
    272.59/410.87 = 249.50/x
  3. Step 3: Cross multiply
    272.59x = 410.87 × 249.50
  4. Step 4: Simplify right side
    272.59x = 102,513.72
  5. Step 5: Solve for x
    x = 102,513.72/272.59
  6. Step 6: Final answer
    x = 376.08

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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.