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Finding the Fourth Proportional to 115.73, 173.60 and 34.58

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Solution

The fourth proportional to 115.73, 173.60 and 34.58 is: 51.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.73 : 173.60 = 34.58 : x
  2. Step 2: Convert to fraction form
    115.73/173.60 = 34.58/x
  3. Step 3: Cross multiply
    115.73x = 173.60 × 34.58
  4. Step 4: Simplify right side
    115.73x = 6,003.67
  5. Step 5: Solve for x
    x = 6,003.67/115.73
  6. Step 6: Final answer
    x = 51.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.