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Finding the Fourth Proportional to 174.66, 241.18 and 131.22

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Solution

The fourth proportional to 174.66, 241.18 and 131.22 is: 181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.66 : 241.18 = 131.22 : x
  2. Step 2: Convert to fraction form
    174.66/241.18 = 131.22/x
  3. Step 3: Cross multiply
    174.66x = 241.18 × 131.22
  4. Step 4: Simplify right side
    174.66x = 31,647.31
  5. Step 5: Solve for x
    x = 31,647.31/174.66
  6. Step 6: Final answer
    x = 181.20

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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.