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Finding the Fourth Proportional to 272.63, 410.78 and 243.16

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Solution

The fourth proportional to 272.63, 410.78 and 243.16 is: 366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.63 : 410.78 = 243.16 : x
  2. Step 2: Convert to fraction form
    272.63/410.78 = 243.16/x
  3. Step 3: Cross multiply
    272.63x = 410.78 × 243.16
  4. Step 4: Simplify right side
    272.63x = 99,884.85
  5. Step 5: Solve for x
    x = 99,884.85/272.63
  6. Step 6: Final answer
    x = 366.37

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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.