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Finding the Fourth Proportional to 268.91, 371.09 and 158.45

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Solution

The fourth proportional to 268.91, 371.09 and 158.45 is: 218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.91 : 371.09 = 158.45 : x
  2. Step 2: Convert to fraction form
    268.91/371.09 = 158.45/x
  3. Step 3: Cross multiply
    268.91x = 371.09 × 158.45
  4. Step 4: Simplify right side
    268.91x = 58,799.21
  5. Step 5: Solve for x
    x = 58,799.21/268.91
  6. Step 6: Final answer
    x = 218.66

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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.