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Finding the Fourth Proportional to 174.71, 241.07 and 135.42

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Solution

The fourth proportional to 174.71, 241.07 and 135.42 is: 186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.71 : 241.07 = 135.42 : x
  2. Step 2: Convert to fraction form
    174.71/241.07 = 135.42/x
  3. Step 3: Cross multiply
    174.71x = 241.07 × 135.42
  4. Step 4: Simplify right side
    174.71x = 32,645.02
  5. Step 5: Solve for x
    x = 32,645.02/174.71
  6. Step 6: Final answer
    x = 186.86

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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.