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Finding the Fourth Proportional to 274.51, 379.25 and 231.58

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Solution

The fourth proportional to 274.51, 379.25 and 231.58 is: 319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.51 : 379.25 = 231.58 : x
  2. Step 2: Convert to fraction form
    274.51/379.25 = 231.58/x
  3. Step 3: Cross multiply
    274.51x = 379.25 × 231.58
  4. Step 4: Simplify right side
    274.51x = 87,826.72
  5. Step 5: Solve for x
    x = 87,826.72/274.51
  6. Step 6: Final answer
    x = 319.94

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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.