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Finding the Fourth Proportional to 217.00, 299.37 and 133.96

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Solution

The fourth proportional to 217.00, 299.37 and 133.96 is: 184.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.00 : 299.37 = 133.96 : x
  2. Step 2: Convert to fraction form
    217.00/299.37 = 133.96/x
  3. Step 3: Cross multiply
    217.00x = 299.37 × 133.96
  4. Step 4: Simplify right side
    217.00x = 40,102.86
  5. Step 5: Solve for x
    x = 40,102.86/217.00
  6. Step 6: Final answer
    x = 184.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.