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Finding the Fourth Proportional to 272.33, 406.49 and 253.29

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Solution

The fourth proportional to 272.33, 406.49 and 253.29 is: 378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.33 : 406.49 = 253.29 : x
  2. Step 2: Convert to fraction form
    272.33/406.49 = 253.29/x
  3. Step 3: Cross multiply
    272.33x = 406.49 × 253.29
  4. Step 4: Simplify right side
    272.33x = 102,958.59
  5. Step 5: Solve for x
    x = 102,958.59/272.33
  6. Step 6: Final answer
    x = 378.07

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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.