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Finding the Fourth Proportional to 272.59, 406.77 and 243.38

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Solution

The fourth proportional to 272.59, 406.77 and 243.38 is: 363.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.59 : 406.77 = 243.38 : x
  2. Step 2: Convert to fraction form
    272.59/406.77 = 243.38/x
  3. Step 3: Cross multiply
    272.59x = 406.77 × 243.38
  4. Step 4: Simplify right side
    272.59x = 98,999.68
  5. Step 5: Solve for x
    x = 98,999.68/272.59
  6. Step 6: Final answer
    x = 363.19

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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.