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Finding the Fourth Proportional to 181.28, 249.54 and 178.58

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Solution

The fourth proportional to 181.28, 249.54 and 178.58 is: 245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.28 : 249.54 = 178.58 : x
  2. Step 2: Convert to fraction form
    181.28/249.54 = 178.58/x
  3. Step 3: Cross multiply
    181.28x = 249.54 × 178.58
  4. Step 4: Simplify right side
    181.28x = 44,562.85
  5. Step 5: Solve for x
    x = 44,562.85/181.28
  6. Step 6: Final answer
    x = 245.82

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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.