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Finding the Fourth Proportional to 297.73, 410.86 and 187.27

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Solution

The fourth proportional to 297.73, 410.86 and 187.27 is: 258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.73 : 410.86 = 187.27 : x
  2. Step 2: Convert to fraction form
    297.73/410.86 = 187.27/x
  3. Step 3: Cross multiply
    297.73x = 410.86 × 187.27
  4. Step 4: Simplify right side
    297.73x = 76,940.26
  5. Step 5: Solve for x
    x = 76,940.26/297.73
  6. Step 6: Final answer
    x = 258.43

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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.