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Finding the Fourth Proportional to 268.94, 371.37 and 181.86

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Solution

The fourth proportional to 268.94, 371.37 and 181.86 is: 251.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.94 : 371.37 = 181.86 : x
  2. Step 2: Convert to fraction form
    268.94/371.37 = 181.86/x
  3. Step 3: Cross multiply
    268.94x = 371.37 × 181.86
  4. Step 4: Simplify right side
    268.94x = 67,537.35
  5. Step 5: Solve for x
    x = 67,537.35/268.94
  6. Step 6: Final answer
    x = 251.13

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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.