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Finding the Fourth Proportional to 174.51, 240.60 and 121.96

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Solution

The fourth proportional to 174.51, 240.60 and 121.96 is: 168.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.51 : 240.60 = 121.96 : x
  2. Step 2: Convert to fraction form
    174.51/240.60 = 121.96/x
  3. Step 3: Cross multiply
    174.51x = 240.60 × 121.96
  4. Step 4: Simplify right side
    174.51x = 29,343.58
  5. Step 5: Solve for x
    x = 29,343.58/174.51
  6. Step 6: Final answer
    x = 168.15

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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.