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Finding the Fourth Proportional to 272.97, 410.94 and 238.95

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Solution

The fourth proportional to 272.97, 410.94 and 238.95 is: 359.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.97 : 410.94 = 238.95 : x
  2. Step 2: Convert to fraction form
    272.97/410.94 = 238.95/x
  3. Step 3: Cross multiply
    272.97x = 410.94 × 238.95
  4. Step 4: Simplify right side
    272.97x = 98,194.11
  5. Step 5: Solve for x
    x = 98,194.11/272.97
  6. Step 6: Final answer
    x = 359.72

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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.