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Finding the Fourth Proportional to 268.96, 369.18 and 239.80

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Solution

The fourth proportional to 268.96, 369.18 and 239.80 is: 329.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.96 : 369.18 = 239.80 : x
  2. Step 2: Convert to fraction form
    268.96/369.18 = 239.80/x
  3. Step 3: Cross multiply
    268.96x = 369.18 × 239.80
  4. Step 4: Simplify right side
    268.96x = 88,529.36
  5. Step 5: Solve for x
    x = 88,529.36/268.96
  6. Step 6: Final answer
    x = 329.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.