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Finding the Fourth Proportional to 272.54, 406.82 and 253.55

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Solution

The fourth proportional to 272.54, 406.82 and 253.55 is: 378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.54 : 406.82 = 253.55 : x
  2. Step 2: Convert to fraction form
    272.54/406.82 = 253.55/x
  3. Step 3: Cross multiply
    272.54x = 406.82 × 253.55
  4. Step 4: Simplify right side
    272.54x = 103,149.21
  5. Step 5: Solve for x
    x = 103,149.21/272.54
  6. Step 6: Final answer
    x = 378.47

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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.