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Finding the Fourth Proportional to 174.71, 241.31 and 142.13

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Solution

The fourth proportional to 174.71, 241.31 and 142.13 is: 196.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.71 : 241.31 = 142.13 : x
  2. Step 2: Convert to fraction form
    174.71/241.31 = 142.13/x
  3. Step 3: Cross multiply
    174.71x = 241.31 × 142.13
  4. Step 4: Simplify right side
    174.71x = 34,297.39
  5. Step 5: Solve for x
    x = 34,297.39/174.71
  6. Step 6: Final answer
    x = 196.31

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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.