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Finding the Fourth Proportional to 174.96, 241.65 and 138.24

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Solution

The fourth proportional to 174.96, 241.65 and 138.24 is: 190.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.96 : 241.65 = 138.24 : x
  2. Step 2: Convert to fraction form
    174.96/241.65 = 138.24/x
  3. Step 3: Cross multiply
    174.96x = 241.65 × 138.24
  4. Step 4: Simplify right side
    174.96x = 33,405.70
  5. Step 5: Solve for x
    x = 33,405.70/174.96
  6. Step 6: Final answer
    x = 190.93

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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.