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Finding the Fourth Proportional to 181.67, 252.41 and 178.63

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Solution

The fourth proportional to 181.67, 252.41 and 178.63 is: 248.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.67 : 252.41 = 178.63 : x
  2. Step 2: Convert to fraction form
    181.67/252.41 = 178.63/x
  3. Step 3: Cross multiply
    181.67x = 252.41 × 178.63
  4. Step 4: Simplify right side
    181.67x = 45,086.47
  5. Step 5: Solve for x
    x = 45,086.47/181.67
  6. Step 6: Final answer
    x = 248.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.