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Finding the Fourth Proportional to 217.09, 325.57 and 148.60

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Solution

The fourth proportional to 217.09, 325.57 and 148.60 is: 222.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.09 : 325.57 = 148.60 : x
  2. Step 2: Convert to fraction form
    217.09/325.57 = 148.60/x
  3. Step 3: Cross multiply
    217.09x = 325.57 × 148.60
  4. Step 4: Simplify right side
    217.09x = 48,379.70
  5. Step 5: Solve for x
    x = 48,379.70/217.09
  6. Step 6: Final answer
    x = 222.86

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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.