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Finding the Fourth Proportional to 216.38, 325.07 and 129.94

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Solution

The fourth proportional to 216.38, 325.07 and 129.94 is: 195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.38 : 325.07 = 129.94 : x
  2. Step 2: Convert to fraction form
    216.38/325.07 = 129.94/x
  3. Step 3: Cross multiply
    216.38x = 325.07 × 129.94
  4. Step 4: Simplify right side
    216.38x = 42,239.60
  5. Step 5: Solve for x
    x = 42,239.60/216.38
  6. Step 6: Final answer
    x = 195.21

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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.