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Finding the Fourth Proportional to 181.56, 248.93 and 178.28

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Solution

The fourth proportional to 181.56, 248.93 and 178.28 is: 244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.56 : 248.93 = 178.28 : x
  2. Step 2: Convert to fraction form
    181.56/248.93 = 178.28/x
  3. Step 3: Cross multiply
    181.56x = 248.93 × 178.28
  4. Step 4: Simplify right side
    181.56x = 44,377.10
  5. Step 5: Solve for x
    x = 44,377.10/181.56
  6. Step 6: Final answer
    x = 244.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.