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Finding the Fourth Proportional to 268.06, 369.80 and 168.60

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Solution

The fourth proportional to 268.06, 369.80 and 168.60 is: 232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.06 : 369.80 = 168.60 : x
  2. Step 2: Convert to fraction form
    268.06/369.80 = 168.60/x
  3. Step 3: Cross multiply
    268.06x = 369.80 × 168.60
  4. Step 4: Simplify right side
    268.06x = 62,347.80
  5. Step 5: Solve for x
    x = 62,347.80/268.06
  6. Step 6: Final answer
    x = 232.59

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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.