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Finding the Fourth Proportional to 217.12, 324.87 and 125.86

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Solution

The fourth proportional to 217.12, 324.87 and 125.86 is: 188.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.12 : 324.87 = 125.86 : x
  2. Step 2: Convert to fraction form
    217.12/324.87 = 125.86/x
  3. Step 3: Cross multiply
    217.12x = 324.87 × 125.86
  4. Step 4: Simplify right side
    217.12x = 40,888.14
  5. Step 5: Solve for x
    x = 40,888.14/217.12
  6. Step 6: Final answer
    x = 188.32

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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.