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Finding the Fourth Proportional to 115.69, 173.53 and 34.53

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Solution

The fourth proportional to 115.69, 173.53 and 34.53 is: 51.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.69 : 173.53 = 34.53 : x
  2. Step 2: Convert to fraction form
    115.69/173.53 = 34.53/x
  3. Step 3: Cross multiply
    115.69x = 173.53 × 34.53
  4. Step 4: Simplify right side
    115.69x = 5,992.03
  5. Step 5: Solve for x
    x = 5,992.03/115.69
  6. Step 6: Final answer
    x = 51.80

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