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Finding the Fourth Proportional to 272.36, 406.15 and 270.05

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Solution

The fourth proportional to 272.36, 406.15 and 270.05 is: 402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.36 : 406.15 = 270.05 : x
  2. Step 2: Convert to fraction form
    272.36/406.15 = 270.05/x
  3. Step 3: Cross multiply
    272.36x = 406.15 × 270.05
  4. Step 4: Simplify right side
    272.36x = 109,680.81
  5. Step 5: Solve for x
    x = 109,680.81/272.36
  6. Step 6: Final answer
    x = 402.71

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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.