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Finding the Fourth Proportional to 272.28, 406.16 and 268.76

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Solution

The fourth proportional to 272.28, 406.16 and 268.76 is: 400.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.28 : 406.16 = 268.76 : x
  2. Step 2: Convert to fraction form
    272.28/406.16 = 268.76/x
  3. Step 3: Cross multiply
    272.28x = 406.16 × 268.76
  4. Step 4: Simplify right side
    272.28x = 109,159.56
  5. Step 5: Solve for x
    x = 109,159.56/272.28
  6. Step 6: Final answer
    x = 400.91

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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.