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Finding the Fourth Proportional to 272.77, 406.72 and 269.43

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Solution

The fourth proportional to 272.77, 406.72 and 269.43 is: 401.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.77 : 406.72 = 269.43 : x
  2. Step 2: Convert to fraction form
    272.77/406.72 = 269.43/x
  3. Step 3: Cross multiply
    272.77x = 406.72 × 269.43
  4. Step 4: Simplify right side
    272.77x = 109,581.38
  5. Step 5: Solve for x
    x = 109,581.38/272.77
  6. Step 6: Final answer
    x = 401.74

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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.