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Finding the Fourth Proportional to 272.07, 408.51 and 241.29

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Solution

The fourth proportional to 272.07, 408.51 and 241.29 is: 362.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.07 : 408.51 = 241.29 : x
  2. Step 2: Convert to fraction form
    272.07/408.51 = 241.29/x
  3. Step 3: Cross multiply
    272.07x = 408.51 × 241.29
  4. Step 4: Simplify right side
    272.07x = 98,569.38
  5. Step 5: Solve for x
    x = 98,569.38/272.07
  6. Step 6: Final answer
    x = 362.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.