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Finding the Fourth Proportional to 218.01, 299.57 and 174.27

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Solution

The fourth proportional to 218.01, 299.57 and 174.27 is: 239.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.01 : 299.57 = 174.27 : x
  2. Step 2: Convert to fraction form
    218.01/299.57 = 174.27/x
  3. Step 3: Cross multiply
    218.01x = 299.57 × 174.27
  4. Step 4: Simplify right side
    218.01x = 52,205.31
  5. Step 5: Solve for x
    x = 52,205.31/218.01
  6. Step 6: Final answer
    x = 239.47

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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.