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Finding the Fourth Proportional to 217.53, 325.77 and 114.54

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Solution

The fourth proportional to 217.53, 325.77 and 114.54 is: 171.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.53 : 325.77 = 114.54 : x
  2. Step 2: Convert to fraction form
    217.53/325.77 = 114.54/x
  3. Step 3: Cross multiply
    217.53x = 325.77 × 114.54
  4. Step 4: Simplify right side
    217.53x = 37,313.70
  5. Step 5: Solve for x
    x = 37,313.70/217.53
  6. Step 6: Final answer
    x = 171.53

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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.