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Finding the Fourth Proportional to 272.41, 406.82 and 269.59

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Solution

The fourth proportional to 272.41, 406.82 and 269.59 is: 402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.41 : 406.82 = 269.59 : x
  2. Step 2: Convert to fraction form
    272.41/406.82 = 269.59/x
  3. Step 3: Cross multiply
    272.41x = 406.82 × 269.59
  4. Step 4: Simplify right side
    272.41x = 109,674.60
  5. Step 5: Solve for x
    x = 109,674.60/272.41
  6. Step 6: Final answer
    x = 402.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.