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Finding the Fourth Proportional to 216.49, 324.81 and 125.27

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Solution

The fourth proportional to 216.49, 324.81 and 125.27 is: 187.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.49 : 324.81 = 125.27 : x
  2. Step 2: Convert to fraction form
    216.49/324.81 = 125.27/x
  3. Step 3: Cross multiply
    216.49x = 324.81 × 125.27
  4. Step 4: Simplify right side
    216.49x = 40,687.32
  5. Step 5: Solve for x
    x = 40,687.32/216.49
  6. Step 6: Final answer
    x = 187.94

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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.