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Finding the Fourth Proportional to 135.73, 187.25 and 83.23

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Solution

The fourth proportional to 135.73, 187.25 and 83.23 is: 114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.73 : 187.25 = 83.23 : x
  2. Step 2: Convert to fraction form
    135.73/187.25 = 83.23/x
  3. Step 3: Cross multiply
    135.73x = 187.25 × 83.23
  4. Step 4: Simplify right side
    135.73x = 15,584.71
  5. Step 5: Solve for x
    x = 15,584.71/135.73
  6. Step 6: Final answer
    x = 114.82

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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.