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Finding the Fourth Proportional to 268.17, 369.86 and 179.79

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Solution

The fourth proportional to 268.17, 369.86 and 179.79 is: 247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.17 : 369.86 = 179.79 : x
  2. Step 2: Convert to fraction form
    268.17/369.86 = 179.79/x
  3. Step 3: Cross multiply
    268.17x = 369.86 × 179.79
  4. Step 4: Simplify right side
    268.17x = 66,496.23
  5. Step 5: Solve for x
    x = 66,496.23/268.17
  6. Step 6: Final answer
    x = 247.96

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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.