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Finding the Fourth Proportional to 272.88, 406.12 and 272.08

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Solution

The fourth proportional to 272.88, 406.12 and 272.08 is: 404.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.88 : 406.12 = 272.08 : x
  2. Step 2: Convert to fraction form
    272.88/406.12 = 272.08/x
  3. Step 3: Cross multiply
    272.88x = 406.12 × 272.08
  4. Step 4: Simplify right side
    272.88x = 110,497.13
  5. Step 5: Solve for x
    x = 110,497.13/272.88
  6. Step 6: Final answer
    x = 404.93

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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.