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Finding the Fourth Proportional to 216.78, 325.24 and 182.14

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Solution

The fourth proportional to 216.78, 325.24 and 182.14 is: 273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.78 : 325.24 = 182.14 : x
  2. Step 2: Convert to fraction form
    216.78/325.24 = 182.14/x
  3. Step 3: Cross multiply
    216.78x = 325.24 × 182.14
  4. Step 4: Simplify right side
    216.78x = 59,239.21
  5. Step 5: Solve for x
    x = 59,239.21/216.78
  6. Step 6: Final answer
    x = 273.27

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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.