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Finding the Fourth Proportional to 218.26, 299.92 and 174.52

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Solution

The fourth proportional to 218.26, 299.92 and 174.52 is: 239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.26 : 299.92 = 174.52 : x
  2. Step 2: Convert to fraction form
    218.26/299.92 = 174.52/x
  3. Step 3: Cross multiply
    218.26x = 299.92 × 174.52
  4. Step 4: Simplify right side
    218.26x = 52,340.85
  5. Step 5: Solve for x
    x = 52,340.85/218.26
  6. Step 6: Final answer
    x = 239.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.