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Finding the Fourth Proportional to 216.81, 325.19 and 114.30

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Solution

The fourth proportional to 216.81, 325.19 and 114.30 is: 171.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.81 : 325.19 = 114.30 : x
  2. Step 2: Convert to fraction form
    216.81/325.19 = 114.30/x
  3. Step 3: Cross multiply
    216.81x = 325.19 × 114.30
  4. Step 4: Simplify right side
    216.81x = 37,168.65
  5. Step 5: Solve for x
    x = 37,168.65/216.81
  6. Step 6: Final answer
    x = 171.43

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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.