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Finding the Fourth Proportional to 174.02, 239.68 and 163.04

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Solution

The fourth proportional to 174.02, 239.68 and 163.04 is: 224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.02 : 239.68 = 163.04 : x
  2. Step 2: Convert to fraction form
    174.02/239.68 = 163.04/x
  3. Step 3: Cross multiply
    174.02x = 239.68 × 163.04
  4. Step 4: Simplify right side
    174.02x = 39,077.43
  5. Step 5: Solve for x
    x = 39,077.43/174.02
  6. Step 6: Final answer
    x = 224.56

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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.