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Finding the Fourth Proportional to 272.36, 409.96 and 247.26

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Solution

The fourth proportional to 272.36, 409.96 and 247.26 is: 372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.36 : 409.96 = 247.26 : x
  2. Step 2: Convert to fraction form
    272.36/409.96 = 247.26/x
  3. Step 3: Cross multiply
    272.36x = 409.96 × 247.26
  4. Step 4: Simplify right side
    272.36x = 101,366.71
  5. Step 5: Solve for x
    x = 101,366.71/272.36
  6. Step 6: Final answer
    x = 372.18

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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.