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Finding the Fourth Proportional to 181.62, 248.91 and 178.20

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Solution

The fourth proportional to 181.62, 248.91 and 178.20 is: 244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.62 : 248.91 = 178.20 : x
  2. Step 2: Convert to fraction form
    181.62/248.91 = 178.20/x
  3. Step 3: Cross multiply
    181.62x = 248.91 × 178.20
  4. Step 4: Simplify right side
    181.62x = 44,355.09
  5. Step 5: Solve for x
    x = 44,355.09/181.62
  6. Step 6: Final answer
    x = 244.22

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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.