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Finding the Fourth Proportional to 272.51, 375.80 and 198.31

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Solution

The fourth proportional to 272.51, 375.80 and 198.31 is: 273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.51 : 375.80 = 198.31 : x
  2. Step 2: Convert to fraction form
    272.51/375.80 = 198.31/x
  3. Step 3: Cross multiply
    272.51x = 375.80 × 198.31
  4. Step 4: Simplify right side
    272.51x = 74,523.91
  5. Step 5: Solve for x
    x = 74,523.91/272.51
  6. Step 6: Final answer
    x = 273.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.