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Finding the Fourth Proportional to 174.56, 240.20 and 161.60

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Solution

The fourth proportional to 174.56, 240.20 and 161.60 is: 222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.56 : 240.20 = 161.60 : x
  2. Step 2: Convert to fraction form
    174.56/240.20 = 161.60/x
  3. Step 3: Cross multiply
    174.56x = 240.20 × 161.60
  4. Step 4: Simplify right side
    174.56x = 38,816.32
  5. Step 5: Solve for x
    x = 38,816.32/174.56
  6. Step 6: Final answer
    x = 222.37

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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.