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Finding the Fourth Proportional to 272.97, 374.38 and 261.80

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Solution

The fourth proportional to 272.97, 374.38 and 261.80 is: 359.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.97 : 374.38 = 261.80 : x
  2. Step 2: Convert to fraction form
    272.97/374.38 = 261.80/x
  3. Step 3: Cross multiply
    272.97x = 374.38 × 261.80
  4. Step 4: Simplify right side
    272.97x = 98,012.68
  5. Step 5: Solve for x
    x = 98,012.68/272.97
  6. Step 6: Final answer
    x = 359.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.