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Finding the Fourth Proportional to 174.63, 241.07 and 137.71

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Solution

The fourth proportional to 174.63, 241.07 and 137.71 is: 190.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.63 : 241.07 = 137.71 : x
  2. Step 2: Convert to fraction form
    174.63/241.07 = 137.71/x
  3. Step 3: Cross multiply
    174.63x = 241.07 × 137.71
  4. Step 4: Simplify right side
    174.63x = 33,197.75
  5. Step 5: Solve for x
    x = 33,197.75/174.63
  6. Step 6: Final answer
    x = 190.10

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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.