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Finding the Fourth Proportional to 174.54, 239.72 and 163.82

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Solution

The fourth proportional to 174.54, 239.72 and 163.82 is: 225.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.54 : 239.72 = 163.82 : x
  2. Step 2: Convert to fraction form
    174.54/239.72 = 163.82/x
  3. Step 3: Cross multiply
    174.54x = 239.72 × 163.82
  4. Step 4: Simplify right side
    174.54x = 39,270.93
  5. Step 5: Solve for x
    x = 39,270.93/174.54
  6. Step 6: Final answer
    x = 225.00

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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.