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Finding the Fourth Proportional to 216.54, 324.85 and 125.26

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Solution

The fourth proportional to 216.54, 324.85 and 125.26 is: 187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.54 : 324.85 = 125.26 : x
  2. Step 2: Convert to fraction form
    216.54/324.85 = 125.26/x
  3. Step 3: Cross multiply
    216.54x = 324.85 × 125.26
  4. Step 4: Simplify right side
    216.54x = 40,689.09
  5. Step 5: Solve for x
    x = 40,689.09/216.54
  6. Step 6: Final answer
    x = 187.91

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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.