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Finding the Fourth Proportional to 116.41, 173.78 and 102.73

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Solution

The fourth proportional to 116.41, 173.78 and 102.73 is: 153.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.41 : 173.78 = 102.73 : x
  2. Step 2: Convert to fraction form
    116.41/173.78 = 102.73/x
  3. Step 3: Cross multiply
    116.41x = 173.78 × 102.73
  4. Step 4: Simplify right side
    116.41x = 17,852.42
  5. Step 5: Solve for x
    x = 17,852.42/116.41
  6. Step 6: Final answer
    x = 153.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.