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Finding the Fourth Proportional to 181.95, 271.34 and 166.56

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Solution

The fourth proportional to 181.95, 271.34 and 166.56 is: 248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.95 : 271.34 = 166.56 : x
  2. Step 2: Convert to fraction form
    181.95/271.34 = 166.56/x
  3. Step 3: Cross multiply
    181.95x = 271.34 × 166.56
  4. Step 4: Simplify right side
    181.95x = 45,193.56
  5. Step 5: Solve for x
    x = 45,193.56/181.95
  6. Step 6: Final answer
    x = 248.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.