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Finding the Fourth Proportional to 272.16, 409.69 and 234.48

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Solution

The fourth proportional to 272.16, 409.69 and 234.48 is: 352.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.16 : 409.69 = 234.48 : x
  2. Step 2: Convert to fraction form
    272.16/409.69 = 234.48/x
  3. Step 3: Cross multiply
    272.16x = 409.69 × 234.48
  4. Step 4: Simplify right side
    272.16x = 96,063.64
  5. Step 5: Solve for x
    x = 96,063.64/272.16
  6. Step 6: Final answer
    x = 352.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.